Math calculators

m3 Calculator

Updated Jul 4, 2026 By Jehan Wadia
Rate Formulas
Package Details
Input Method
Number of identical items in the shipment. Scales all totals.
Leave blank to hide weight-based outputs.
$
Freight rate or material cost per cubic meter.
Volume Results
Volume per Unit
m³ (cubic meters)
Total Volume
m³ × quantity
Total Volume (ft³)
cubic feet
Actual Weight
Total Actual Weight (kg)
Total Actual Weight (lb)
Volumetric / Dimensional Weight
MethodWeight (kg)Weight (lb)
Air Freight (IATA)
Sea Freight
Courier / Express
Carriers bill on the greater of actual vs. volumetric weight. Divisors shown are the industry standards for each transport mode.
Shipping Container Fit Estimate
20 ft Container
589 × 230 × 230 cm
40 ft Container
1200 × 230 × 230 cm
40 ft High Cube
1200 × 230 × 260 cm
Theoretical maximum based on volume only (internal volume ÷ unit volume). It does not account for irregular packing, stacking limits, or container weight limits.
Estimated Total Cost
Estimated Total Cost
Total m³ × price per m³
Weight Comparison
Step-by-Step Solution

Introduction

This free CBM calculator helps you find the volume of a box, carton, or package in cubic meters (m³). Just type in the length, width, and height, and the tool does the math for you right away. You can also enter the number of units to get the total volume for your whole shipment.

In Basic Mode, you get the volume per unit and the total volume in both cubic meters and cubic feet. Switch to Advanced Mode to see even more, like volumetric weight for air freight, sea freight, and courier shipping. It also shows how many units can fit inside a 20 ft, 40 ft, or 40 ft high cube container, and gives you a cost estimate based on your price per m³.

The calculator accepts six different length units — millimeters, centimeters, meters, inches, feet, and yards — so you never have to convert numbers by hand. If you pick feet, you can add extra inches too. A step-by-step solution breaks down every part of the math so you can check the work or learn how the formula works.

Whether you are planning a shipment, estimating freight costs, or just need to know how much space something takes up, this m³ calculator gives you fast and clear answers.

How to Use Our CBM Calculator

Enter your package dimensions and shipment details below. The calculator will give you the total volume in cubic meters (m³), volumetric weight, container fit estimates, and shipping cost.

Basic or Advanced Mode: Click "Basic Mode" for volume results only. Click "Advanced Mode" to also see weight, container, and cost outputs.

Input Method: Pick "Length × Width × Height" if you know all three sides of your box. Pick "Area × Height" if you already know the base area and just need to multiply by height.

Length: Type the length of one package. Choose your unit (mm, cm, m, in, ft, or yd) from the dropdown. If you pick feet, an extra box appears where you can add inches.

Width: Type the width of one package and pick the unit. This works the same way as the length field.

Height: Type the height of one package and pick the unit. This works the same way as the length field.

Area (Area × Height mode only): Type the base area of your package. Choose the area unit (sq mm, sq cm, sq m, sq in, sq ft, or sq yd) from the dropdown.

Number of Units / Cartons: Enter how many identical packages are in your shipment. The calculator multiplies all totals by this number.

Weight per Unit (optional): Type the actual weight of one package. Pick kg, lb, or g. Leave this blank if you do not need weight-based results.

Price per m³ (optional): Type your freight rate or material cost per cubic meter. The calculator uses this to estimate your total shipping cost. Leave it blank if you do not need a cost estimate.

Click "Calculate" to see your results. Click "Reset" to clear all fields and start over.

What Is a Cubic Meter (CBM)?

A cubic meter (m³) is a unit that measures volume, or how much space something takes up. Picture a box that is 1 meter long, 1 meter wide, and 1 meter tall. The space inside that box is exactly one cubic meter. You may also see it written as CBM, which stands for cubic meter.

How to Calculate Cubic Meters

To find the volume of a box or carton in cubic meters, multiply its length × width × height. If your measurements are in centimeters, divide the result by 1,000,000. If they are in feet, multiply the result by 0.0283168. You can also use our meters to feet calculator to quickly convert between metric and imperial units. This calculator handles all of those conversions for you automatically.

Why CBM Matters in Shipping

Shipping companies use CBM to figure out how much space your goods take up inside a truck, container, or airplane. They charge based on either the actual weight or the volumetric weight of your shipment — whichever one is greater. This means a large but light package can cost more to ship than a small but heavy one. Understanding your shipment's freight class can also help you estimate costs more accurately.

Volumetric Weight

Volumetric weight is a way to turn the size of a package into a weight number. Different shipping methods use different formulas:

  • Air freight (IATA): Multiply length × width × height in centimeters, then divide by 6,000.
  • Courier and express: Multiply length × width × height in centimeters, then divide by 5,000.
  • Sea freight: Multiply the total cubic meters by 1,000.

Shipping Container Sizes

Standard shipping containers come in three common sizes. Each has a set internal volume:

  • 20 ft container: roughly 33 cubic meters inside.
  • 40 ft container: roughly 67 cubic meters inside.
  • 40 ft high cube container: roughly 76 cubic meters inside.

Knowing your total CBM helps you pick the right container size and avoid paying for space you do not need. If you need to convert your volume into cubic yards for other purposes, we have a tool for that too.

When You Need a CBM Calculation

You will need to calculate cubic meters any time you ship freight, store goods in a warehouse, order building materials like concrete or mulch, or estimate how much space items will fill. For larger material projects, our sand calculator and gravel calculator can also help you figure out exactly how much you need. Planning your shipment timeline? Our lead time calculator can help you estimate delivery schedules. This calculator gives you the volume, volumetric weight, container fit, and estimated cost all in one place so you can plan ahead with confidence.


Formulas used

Volume per Unit (L × W × H)
V_{unit} = L \times W \times H
Volume per Unit (Area × Height)
V_{unit} = A \times H
Total Volume
V_{total} = V_{unit} \times Q
Volumetric Weight — Air Freight (IATA)
W_{air} = \frac{L_{cm} \times W_{cm} \times H_{cm}}{6000} \times Q
Volumetric Weight — Sea Freight
W_{sea} = V_{total} \times 1000
Volumetric Weight — Courier / Express
W_{courier} = \frac{L_{cm} \times W_{cm} \times H_{cm}}{5000} \times Q
Estimated Total Cost
\text{Cost} = V_{total} \times \text{Price per m}^3

Frequently asked questions

What does CBM stand for?

CBM stands for cubic meter. It is a unit of volume that measures how much space an object takes up. One CBM equals the space inside a box that is 1 meter long, 1 meter wide, and 1 meter tall.

How do I switch between Basic Mode and Advanced Mode?

Click the Basic Mode or Advanced Mode tab at the top of the calculator. Basic Mode shows only volume results. Advanced Mode adds volumetric weight, container fit estimates, a weight comparison chart, and cost calculations.

Can I enter measurements in inches or feet instead of centimeters?

Yes. Each dimension field has a unit dropdown where you can pick mm, cm, m, inches, feet, or yards. If you choose feet, an extra input box appears so you can add inches too. The calculator converts everything to meters for you.

What is the difference between the Length × Width × Height and Area × Height input methods?

Use Length × Width × Height when you know all three sides of a box. Use Area × Height when you already know the base area (like the floor space of a crate) and just need to multiply it by the height to get the volume.

What happens if I leave the Weight per Unit field blank?

The calculator will skip all weight-based outputs. The Actual Weight section will show a dash instead of a number. Volume results and volumetric weight calculations still work normally.

What happens if I leave the Price per m³ field blank?

The Estimated Total Cost section will show a dash. All other results, including volume, weight, and container fit, still appear as normal.

Why is my volumetric weight higher than my actual weight?

This means your package is light for its size. Carriers call this a "low-density" shipment. Shipping companies charge based on whichever weight is greater — actual or volumetric — so a big, light box can cost more to ship than a small, heavy one.

Why are there different divisors for air freight, sea freight, and courier?

Each shipping mode uses a different formula set by the industry:

  • Air freight (IATA) divides by 6,000.
  • Courier / express divides by 5,000.
  • Sea freight multiplies total m³ by 1,000.

The divisor reflects how each carrier balances space and weight on their vehicles.

How accurate is the container fit estimate?

The container fit number is a theoretical maximum. It divides the container's internal volume by the volume of one unit. It does not account for gaps between boxes, stacking limits, pallet space, or the container's weight limit. Real-world capacity is usually lower.

How is the total cost calculated?

The calculator multiplies your total volume in m³ by the price per m³ you entered. For example, if your total volume is 4.8 m³ and your rate is $45 per m³, the estimated cost is 4.8 × 45 = $216.00.

Can I use this calculator for non-shipping purposes like concrete or soil?

Yes. The calculator finds the volume of any rectangular shape. You can use it to figure out how much concrete, soil, mulch, sand, gravel, or water fits in a space. Just enter the dimensions and set the quantity to 1.

How do I convert cubic meters to cubic feet?

Multiply the cubic meter value by 35.3147. This calculator does it automatically and shows the result in the Total Volume (ft³) card.

What does the Number of Units field do?

It tells the calculator how many identical packages are in your shipment. Every total — volume, weight, volumetric weight, and cost — is multiplied by this number. Set it to 1 if you only have one box.

Can I mix different units for length, width, and height?

Yes. Each dimension has its own unit dropdown. You can enter length in inches, width in centimeters, and height in feet, for example. The calculator converts each one to meters before doing the math.

Where can I see the math behind the results?

Scroll down to the Step-by-Step Solution section. It shows every conversion, formula, and calculation the tool used, so you can follow along or double-check the work.

What is the formula for CBM?

The formula is:

CBM = Length (m) × Width (m) × Height (m)

If your measurements are in centimeters, convert each one to meters first by dividing by 100, then multiply all three together.

Does the calculator round the results?

Volume values are shown to 4 decimal places. Weight values are shown to 2 decimal places. Container fit numbers are rounded down to the nearest whole unit since you cannot fit a partial box.

What weight units can I use?

You can enter weight in kilograms (kg), pounds (lb), or grams (g). The calculator converts your input to kilograms internally and also shows results in both kg and lb.