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📦 Cubic Feet Calculator

Find the volume of any box, cylinder, or prism in cubic feet — plus cubic inches, cubic yards, cubic meters, gallons, and liters. For shipping, storage, moving, and tanks. Free, no sign-up.

✓ Feet or inches input ✓ 6 volume units at once ✓ Free — no sign-up needed
📌 Quick Answer

A cubic feet calculator finds the volume of a three-dimensional object — a box, a cylinder, or a prism. It converts your length, width, and height into cubic feet and shows the same volume in cubic inches, cubic yards, cubic meters, US gallons, and liters. The standard formula for a box is:

Cubic Feet = Length × Width × Height  |  From inches: (L × W × H) ÷ 1,728

How to calculate cubic feet in 3 steps:

  1. Pick a shape — box, cylinder, or triangular prism — and choose whether you measured in feet or inches.
  2. Enter the dimensions: length, width, and height for a box; diameter and height for a cylinder.
  3. Click Calculate Volume to see cubic feet, cubic inches, cubic yards, cubic meters, gallons, and liters.

For example, a box 3 ft × 3 ft × 3 ft holds 3 × 3 × 3 = 27 cubic feet — which is exactly 1 cubic yard. That same volume equals 46,656 cubic inches, about 0.76 cubic meters, or roughly 202 US gallons.

Cubic Feet Calculator

Pick a shape, enter dimensions, see the volume in six units instantly.

📊 Box · Cylinder · Prism — measure in feet or inches
ft
ft
ft
Measure length, width and height — all in the same unit
Total Volume
ft³
cubic yards
Length
Width
Height
Cubic Inches
Cubic Meters
US Gallons
Liters
Total with Extra Space
ft³
Base volume: ft³ · Rounded up: ft³
Volume Options: Base vs With Extra Space vs Rounded
Base Volume
With Extra
Rounded
Enter your dimensions and calculate to see the volume breakdown.
Volume formulas are exact geometry. Unit conversions use standard factors. The optional cost is your own price per cubic foot — there is no universal rate.
📦 Volume in Every Unit

From Boxes to Tanks –
One Tool for Every Cubic-Feet Question

Shipping a package, sizing a storage unit, filling a tank, comparing appliances — they all come down to cubic feet. This free calculator turns the dimensions of a box, cylinder, or prism into volume in six units at once, with feet or inches input.

⚡ Try the Calculator Now
1,728
in³ in 1 ft³
27 ft³
1 cubic yard
7.48
gallons in 1 ft³
6
units at once
📖 Introduction

Cubic Feet: The Volume Unit Behind Shipping, Storage & More

A cubic foot is the volume of a cube one foot on every side. It is the unit that quietly runs a surprising amount of everyday life — what a moving company quotes you, how a carrier prices a bulky package, how big a refrigerator or storage unit really is, and how much water a tank holds.

The math for a box is simple — length times width times height. The part people stumble on is units. Boxes are usually measured in inches, but the answer is wanted in cubic feet, and the conversion is not a simple divide-by-twelve: there are 1,728 cubic inches in a cubic foot, not 12. Mixing that up is the single most common cubic-feet mistake.

This free Cubic Feet Calculator removes the guesswork. Pick a box, cylinder, or triangular prism, enter the dimensions in feet or inches, and it returns the volume in cubic feet, cubic inches, cubic yards, cubic meters, gallons, and liters at once.

Pro Tip: When you measure for shipping, round every dimension up to the next whole inch and measure to the outermost point — including bulges, handles, and packaging. Carriers measure the same way, and rounding down can mean an undersized estimate and a billing surprise.
⚙️ How It Works

How the Cubic Feet Calculator Works

Choose a shape, set the unit, enter the dimensions, and click once. The calculator returns the volume in six units plus a breakdown with extra space. Here is what each control does.

1

Pick the Shape

Box covers crates, cartons, rooms, and storage units. Cylinder handles tanks, drums, columns, and round containers. Triangular prism covers wedge shapes — ramps, firewood racks, and angled spaces.

2

Choose Feet or Inches

Use the unit toggle to match how you measured. Small items — boxes, parcels, drawers — are usually measured in inches. Rooms and large objects in feet. The calculator handles the conversion either way.

📐 Keep all three dimensions in the same unit.
3

Enter the Dimensions

For a box, enter length, width, and height. For a cylinder, the diameter and the height. For a triangular prism, the triangle's base and height plus the length of the prism.

4

Enter the Number of Items

Measuring several identical objects — a stack of moving boxes, a row of drums? Enter the count and the calculator totals them. For a single object, leave this at 1.

📦 This is the fast way to size a whole move.
5

Add Extra Space (Optional)

In Advanced mode, add an extra-space margin for packing material, air gaps, or ordering headroom. You can also enter a price per cubic foot if you have a freight or material rate.

6

Hit Calculate — Read Every Unit

Instantly see the volume in cubic feet, cubic inches, cubic yards, cubic meters, US gallons, and liters, plus the total with extra space.

✅ Box formula: Volume = Length × Width × Height
Reality Check: The calculator gives the exact geometric volume of the shape you describe. Real objects are rarely perfect boxes — tapered sides, rounded corners, and internal walls all change the usable volume. Treat the result as the outer or nominal volume unless you measured the inside.
🔬 The Formula

The Cubic Feet Formula, Explained

Each shape has one exact formula. The only real complication is the inches-to-feet conversion — and it is not the one most people expect.

Box: Volume equals length times width times height, with all three in feet. A box 4 feet long, 3 feet wide, and 2 feet tall holds 4 × 3 × 2 = 24 cubic feet. A cube is just a box where all three sides are equal.

The inches trap: If you measured in inches, you cannot simply divide by 12. There are 1,728 cubic inches in a cubic foot, because a cubic foot is 12 × 12 × 12 inches. So multiply the three inch dimensions together and divide by 1,728. A box 24 inches on every side is 24 × 24 × 24 = 13,824 cubic inches, which is 13,824 ÷ 1,728 = 8 cubic feet. This calculator does the division automatically when you select the inches unit.

Cylinder: Volume equals π (about 3.14159) times the radius squared, times the height. The radius is half the diameter. For a tank 2 feet across and 4 feet tall, the radius is 1 foot, so the volume is 3.14159 × 1 × 1 × 4 ≈ 12.6 cubic feet.

Triangular prism: Volume equals the area of the triangular end — half the base times the height — multiplied by the length of the prism. A prism with a 4-foot base, a 3-foot triangle height, and an 8-foot length holds 0.5 × 4 × 3 × 8 = 48 cubic feet.

Why 1,728 and not 12: Converting a length divides by 12 (12 inches to a foot). Converting a volume divides by 12 three times — once for each dimension — which is 12 × 12 × 12 = 1,728. The same logic explains why a cubic yard is 27 cubic feet: 3 × 3 × 3.
📐 Conversions

Volume Unit Conversions Worth Knowing

A cubic-feet figure rarely stands alone. Carriers, suppliers, and spec sheets each use their own unit, and these factors connect them all.

ConversionMultiplierWhen You Use It
Cubic inches → cubic feet÷ 1,728Turning a box measured in inches into cubic feet
Cubic feet → cubic inches× 1,728Working with small-item or precision volumes
Cubic feet → cubic yards÷ 27Comparing against bulk material sold by the yard
Cubic feet → cubic meters× 0.02832Metric specs and international shipping
Cubic feet → US gallons× 7.48Tanks, aquariums, and water capacity
Cubic feet → liters× 28.32Metric liquid capacity

The conversions in plain language: There are 1,728 cubic inches and about 7.48 US gallons in a cubic foot, and 27 cubic feet in a cubic yard. One cubic foot is a little over 28 liters, or about 0.028 cubic meters. The inch and yard conversions come up most often — the first for measuring, the second for comparing to bulk material.

Quick Reference: Common Cubic-Feet Volumes

ObjectTypical VolumeNotes
📦 Small moving box~1.5 ft³Books, small heavy items
📦 Medium moving box~3 ft³The all-purpose box
📦 Large moving box~4.5 ft³Bulky, lightweight items
🧺 Standard washing machine~4–5 ft³Drum capacity
❄️ Household refrigerator~18–28 ft³Fridge plus freezer
🚪 Small storage unit (5×5)~200 ft³5 ft × 5 ft × 8 ft tall
🔍 Key Factors

Factors That Affect Your Volume Measurement

The formula is exact, but a few real-world details decide whether the number you get is the number you need.

📏
Inside vs Outside Dimensions
A box's outside measurements give its shipping volume; its inside measurements give what it can hold. Walls have thickness. For capacity, measure the interior; for freight, measure the exterior.
📐
Unit Consistency
All three dimensions must be in the same unit before you multiply. Mixing feet and inches in one calculation is a common and large error. Convert everything first, or let the calculator's unit toggle handle it.
🔼
Rounding Direction
For shipping, round each dimension up — carriers measure to the outermost point and round up themselves. For capacity planning, rounding to the nearest unit is fine. The direction you round depends on the purpose.
📦
Packing & Air Space
A box's volume is not all usable. Padding, awkward item shapes, and air gaps mean real packed capacity is lower. An extra-space margin accounts for the difference between geometric and practical volume.
🧊
Irregular Shapes
Few real objects are perfect boxes or cylinders. Tapered, stepped, or curved forms need to be split into simple shapes that are measured separately and added — the same technique used for area.
⚖️
Volume vs Weight
Cubic feet measures space, not mass. A cubic foot of feathers and a cubic foot of lead occupy the same volume. For shipping, both the volume and the weight matter — carriers bill on whichever is greater.
🔢
Measurement Precision
Because volume multiplies three dimensions, a small error in each compounds. A 5% over-measure on every side inflates the volume by roughly 16%. Measure carefully, especially for billed shipments.
🛢️
Fill Level
For a tank or container, the full geometric volume is the maximum capacity. Usable capacity is less if you never fill to the brim. For liquids, leave headroom and calculate to the intended fill line.
⚡ Shape Comparison

The Three Shapes Compared

Almost any object can be measured as one of these three shapes — or built from a combination of them.

📦
Box
L × W × H
Formula
3 inputs
Length, width, height
Most common
Crates, rooms, units
🛢️
Cylinder
π × r² × H
Formula
2 inputs
Diameter, height
Round
Tanks, drums, pipes
📐
Triangular Prism
½bh × L
Formula
3 inputs
Base, height, length
Wedge
Ramps, racks
ShapeWhat You MeasureUse It ForWatch Out For
BoxLength, width, heightCartons, crates, rooms, storage units, drawersInside vs outside dimensions
CylinderDiameter and heightTanks, drums, columns, pipes, round plantersMeasuring radius instead of diameter
Triangular PrismTriangle base, triangle height, prism lengthRamps, firewood racks, wedge-shaped spacesUsing the slanted side as the height
CombinationEach part separatelyStepped or compound objectsOverlapping or skipping sections
The combination technique: An L-shaped room, a stepped crate, or a container with a domed top can each be split into a box plus another simple shape. Measure each piece, calculate its cubic feet, and add the results. There is no object too odd for this approach.
🛠️ Step by Step

How to Measure Volume, Step by Step

A reliable volume measurement follows the same four phases whether you are sizing one parcel or a whole moving truck.

Phase 1 · Identify the Shape
Decide which shape the object really is

Look at the object and match it to a box, a cylinder, or a prism. If it does not fit one cleanly, sketch it and split it into simple shapes. Getting this right first prevents using the wrong formula later.

Goal: every part is a shape the calculator handles
Phase 2 · Choose Your Unit
Pick feet or inches and stay consistent

Decide upfront whether you will measure in feet or inches, based on the object's size, and use that unit for every dimension. For shipping, decide whether you need inside or outside measurements before you start.

Tip: small items in inches, rooms and large objects in feet
Phase 3 · Measure Carefully
Measure to the outermost points

Take each dimension at its widest, including bulges and protrusions if the volume is for shipping. For a cylinder, measure the diameter across the true center. For shipping, round each measurement up to the next whole unit.

Why it matters: volume multiplies errors three times over
Phase 4 · Calculate & Total
Run each shape and add the pieces

Enter each shape into the calculator, note its cubic feet, and add the parts for a grand total. For multiple identical items, use the quantity field. Add an extra-space margin if you are planning packing or storage.

Result: one defensible volume figure for the whole job
💸 In Practice

Cubic Feet in Shipping & Storage

Cubic feet is not just a geometry exercise — it directly drives what you pay to ship and store things. Here is how the number is used in the real world.

In shipping, carriers use volume to calculate dimensional weight: a billable weight derived from how much space a package takes up. A large, light box can be charged as if it were much heavier, because it occupies room that could carry denser freight. Knowing the cubic feet of a shipment is the first step in predicting that charge.

🚚
Shipping & Freight
Volume-based pricing
Parcel dimensional weightvol ÷ factor
LTL freightdensity-based
Billed weightgreater of two
Bulky-but-light costs more
📦
Moving
Sizing the job
Studio apartment~300 ft³
2-bedroom home~800 ft³
4-bedroom home~1,800 ft³
Drives truck size & quotes
🚪
Storage Units
Capacity by size
5 × 5 unit~200 ft³
10 × 10 unit~800 ft³
10 × 20 unit~1,600 ft³
Match volume to unit size
Use CaseWhy Cubic Feet MattersWhat to Measure
Parcel shippingSets dimensional weight and the billed rateOutside dimensions, rounded up
Moving a homeDetermines truck size and the mover's quoteAll boxes and furniture, totaled
Renting storageDecides which unit size fits your goodsTotal volume of everything stored
Buying an applianceCompares fridge, freezer, or washer capacityInterior dimensions or the spec sheet
Filling a tankConverts to gallons or liters of capacityInterior diameter and height
The dimensional weight rule: Carriers divide a package's cubic-inch volume by a published factor to get a billable weight, then charge the greater of that and the actual weight. For light, bulky shipments the volume almost always wins — which is exactly why an accurate cubic-feet figure is worth getting right.
💡 Real Examples

Example Cubic Feet Calculations

Three objects, three shapes — each worked through with verified math so you can sanity-check your own results.

EXAMPLE 1A Move of 20 Boxes
📏 Box: 18 × 18 × 24 in 📦 One box: 4.5 ft³ 🔢 Quantity: 20 🧮 Shape: Box 📊 Total: 90 ft³
Total Volume
90 ft³
(18 × 18 × 24 ÷ 1,728) × 20 = 90 ft³
📦 About 3.3 Cubic Yards Twenty large boxes total 90 cubic feet — roughly a third of a small moving truck before furniture. With a 10% packing margin that is about 99 cubic feet. Use the inches unit and the quantity field to get there in one step.
EXAMPLE 2A Cylindrical Water Tank
⭕ Diameter: 2 ft 📏 Height: 4 ft 🧮 Shape: Cylinder 📊 Volume: 12.6 ft³ 💧 Capacity: ~94 gal
Total Volume
12.6 ft³
π × 1² × 4 = 12.57 ft³
🛢️ Roughly 94 US Gallons A 2-foot-wide, 4-foot-tall tank holds about 12.6 cubic feet — and the calculator converts that straight to 94 gallons or 356 liters. For real fill capacity, measure the inside diameter and leave headroom at the top.
EXAMPLE 3A Triangular Firewood Rack
📐 Triangle base: 4 ft 📏 Triangle height: 3 ft 📏 Length: 8 ft 🧮 Shape: Prism 📊 Volume: 48 ft³
Total Volume
48 ft³
(½ × 4 × 3) × 8 = 48 ft³
📐 The Prism Formula in Action A wedge-shaped rack with a triangular end is a prism: find the triangle's area (½ × base × height), then multiply by the length. At 48 cubic feet, that is well under half a standard cord of firewood.
📋 Best Practice

Getting an Accurate Cubic Feet Figure Every Time

Accuracy comes from method. These habits separate a volume you can ship or store against from a guess that costs money.

The most consequential decision is inside versus outside dimensions. They answer different questions: outside dimensions tell a carrier how much space a package occupies; inside dimensions tell you how much it can hold. Using the wrong one is the difference between an accurate shipping estimate and an accurate capacity estimate — and they are not interchangeable.

The second habit is unit discipline. Because volume multiplies three numbers, a single dimension left in the wrong unit throws the whole result off by a wide margin. Decide on feet or inches before you start, and convert everything to it first.

Six Habits for a Reliable Volume

📏
Decide inside or outside first — capacity needs interior dimensions; shipping needs exterior. Know which question you are answering before you pick up the tape.
📐
Keep every dimension in one unit — all feet or all inches. Mixing units in a volume calculation is a large, easy-to-miss error.
🔼
Round up for shipping — carriers measure to the outermost point and round up. Match them so your estimate is not undersized.
🧩
Split irregular objects into simple shapes — a box plus a prism, a cylinder plus a box. Measure each, calculate, and add.
📦
Add a margin for packing — geometric volume is not usable volume. An extra-space allowance covers padding, air gaps, and awkward shapes.
🔁
Measure twice for anything billed — a second reading catches most errors, and on a billed shipment the error has a price tag.
⚠️ Limitations

When This Calculator Is the Wrong Tool

The three shapes cover most volume problems, but not every one. Here are the situations where the result needs care or a different tool.

1. Free-form and curved shapes. A sphere, a cone, a dome, or an organic shape is not a box, cylinder, or prism. Approximate it by splitting it into shapes you can measure, or use a formula specific to that shape. The closer your approximation, the better the estimate.

2. Exact dimensional-weight billing. This calculator gives you the cubic feet of a shipment, which is the input to dimensional weight — but each carrier uses its own divisor and rounding rules. For an exact billed figure, apply your carrier's published dimensional-weight formula to the measurements.

3. Usable capacity of a packed space. The geometric volume of a truck, container, or storage unit is the maximum, not the practical capacity. Real packing leaves gaps around irregular items, so usable capacity is typically 10–25% less than the calculated volume.

4. Volume that needs a weight. Cubic feet measures space only. To know what a volume weighs — for hauling limits or freight class — you need the material's density. For bulk landscape materials, a cubic yard calculator that includes weight is the better fit.

Where to go instead: For bulk material sold by the cubic yard, with weight and bag counts, use a cubic yard calculator. For the flat area of a surface before any depth, a square footage calculator is the first step. This tool's strength is being the fast, accurate answer to "how many cubic feet."

📚 Glossary

Cubic Feet Terms You'll See On This Page

Quick reference for the volume terms used throughout this calculator.

Cubic Foot (ft³)
The volume of a cube one foot on each side. The standard US unit for shipping volume, appliance capacity, and storage space.
Cubic Inch (in³)
The volume of a cube one inch on each side. There are 1,728 cubic inches in a cubic foot.
Cubic Yard (yd³)
The volume of a cube three feet on each side, equal to 27 cubic feet. Used for bulk landscape and construction material.
Cubic Meter (m³)
The metric volume unit, equal to about 35.31 cubic feet. The standard volume unit outside the US.
Volume
The amount of three-dimensional space an object occupies or contains.
Box (Rectangular Prism)
A six-sided shape with rectangular faces. Its volume is length times width times height.
Cylinder
A round shape with a circular cross-section and a constant height. Its volume is π times the radius squared, times the height.
Triangular Prism
A shape with a triangular cross-section running a constant length. Its volume is the triangle's area times the length.
Diameter
The distance straight across a circle through its center. The radius — used in the cylinder formula — is half the diameter.
Dimensional Weight
A billable weight that carriers derive from a package's volume, so light but bulky shipments are priced for the space they use.
Density
The weight of a material per unit of volume. Density is what turns a volume in cubic feet into a weight.
Inside vs Outside Dimensions
Outside dimensions give the space an object occupies; inside dimensions give what it can hold. They differ by the wall thickness.
US Gallon
A unit of liquid volume; one cubic foot holds about 7.48 US gallons. Used for tank and aquarium capacity.
Extra-Space Margin
A percentage added to the geometric volume to allow for packing material, air gaps, and practical headroom.
❓ FAQ

Frequently Asked Questions

The most common questions about calculating and using cubic feet — answered clearly.

How do I calculate cubic feet?

Multiply length by width by height, with all three measurements in feet. A box 4 ft long, 3 ft wide, and 2 ft high holds 4 × 3 × 2 = 24 cubic feet. If you measured in inches, multiply the three inch values together and divide by 1,728, since there are 1,728 cubic inches in a cubic foot. This calculator does the conversion automatically when you pick the inches unit.

How many cubic inches are in a cubic foot?

There are 1,728 cubic inches in one cubic foot. A foot is 12 inches, so a cubic foot is 12 × 12 × 12 = 1,728 cubic inches. To convert cubic inches to cubic feet, divide by 1,728; to go the other way, multiply by 1,728. This is the conversion that turns a box measured in inches into a volume in cubic feet.

How do I calculate cubic feet from inches?

Measure the length, width, and height in inches, multiply the three numbers together, then divide the result by 1,728. For example, a box 24 inches on every side is 24 × 24 × 24 = 13,824 cubic inches, and 13,824 ÷ 1,728 = 8 cubic feet. Selecting the inches unit in this calculator does the division for you.

How many cubic feet are in a cubic yard?

There are 27 cubic feet in one cubic yard, because a yard is 3 feet and 3 × 3 × 3 = 27. To convert cubic feet to cubic yards, divide by 27; to convert cubic yards to cubic feet, multiply by 27. Bulk landscape material is sold by the cubic yard, while bagged material and shipping volume use cubic feet.

How many gallons are in a cubic foot?

One cubic foot holds about 7.48 US gallons. To convert cubic feet to gallons, multiply by 7.48; to convert gallons to cubic feet, divide by 7.48. This conversion matters for tanks, aquariums, and water features — a 10-cubic-foot tank holds roughly 75 gallons.

How do I find the cubic feet of a cylinder?

The volume of a cylinder is π (about 3.14159) times the radius squared, times the height. The radius is half the diameter. For a tank 2 feet across and 4 feet tall, the radius is 1 foot, so the volume is 3.14159 × 1 × 1 × 4 ≈ 12.6 cubic feet. Select the Cylinder shape in this calculator and enter the diameter and height.

What is the cubic feet of a refrigerator?

Most household refrigerators range from about 18 to 28 cubic feet of total capacity, combining the fridge and freezer compartments. Compact and apartment units run 10 to 18 cubic feet. The figure measures interior storage volume, not the appliance's outside dimensions. Manufacturers list it on the spec sheet, but you can also measure the interior and calculate it.

How do I convert cubic feet to cubic meters?

Multiply cubic feet by 0.0283 to get cubic meters. To go the other way, multiply cubic meters by 35.31 to get cubic feet. For example, 100 cubic feet is 100 × 0.0283 = 2.83 cubic meters. Cubic feet is an imperial unit; most of the world measures volume in cubic meters.

How do I calculate cubic feet for shipping?

Measure the length, width, and height of the package in inches, multiply them together, and divide by 1,728 to get cubic feet. Carriers use this volume to work out dimensional weight — a pricing method that charges for the space a shipment occupies when it is light but bulky. Round each dimension up to the next inch, since carriers measure to the outermost point.

How many cubic feet is a standard moving box?

Moving boxes are sized by volume: a small box is about 1.5 cubic feet, a medium box about 3 cubic feet, a large box about 4.5 cubic feet, and an extra-large box about 6 cubic feet. To estimate a whole move, multiply the count of each box size by its cubic feet and add the totals — this calculator's quantity field does that in one step.

What is dimensional weight and how is it related to cubic feet?

Dimensional weight is a shipping charge based on a package's volume rather than its actual weight, used so carriers are paid fairly for light but bulky items. The package's cubic-inch volume is divided by a carrier-specific factor to produce a billable weight. Knowing the cubic feet of a shipment is the first step in estimating whether it will be billed by size or by weight.

How accurate does my measurement need to be?

For most purposes, measuring each dimension to the nearest inch is accurate enough — small errors have a limited effect on the total volume. For shipping, round each dimension up to the next whole inch, since carriers measure to the outermost point and round up. For tanks and precise capacity work, measure carefully and account for wall thickness, which reduces the usable interior volume.

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Find Any Volume in Cubic Feet
in 30 Seconds

Enter the dimensions of a box, cylinder, or prism — get the volume in cubic feet, cubic inches, cubic yards, cubic meters, gallons, and liters. Feet or inches input. All free.

Calculate Volume — Free Takes 30 seconds · No account needed · 6 units at once
Feet or inches input
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Disclaimer: The volume formulas in this calculator are exact geometry and the unit conversions use standard factors. Real objects have wall thickness, taper, and irregular features that change usable volume, and packed capacity is always less than geometric volume. Dimensional-weight billing depends on each carrier's own divisor and rounding rules. This tool provides estimates for educational and planning purposes only. For exact shipping charges, apply your carrier's published dimensional-weight formula to your measurements.