What Is the Volume of a Box?
The volume of a rectangular box — also called a cuboid or rectangular prism — is the amount of three-dimensional space it occupies. It tells you how much the box can hold, whether you are shipping a parcel, filling an aquarium, or estimating packing material. This calculator works in any consistent unit: centimeters give cubic centimeters, meters give cubic meters, inches give cubic inches.
How to Use This Calculator
Enter the three dimensions of your box: length, width, and height. Make sure all three are measured in the same unit. Click calculate and the tool multiplies them together to return the total volume in cubic units, along with a summary of the dimensions you entered.
The Formula Explained
The volume of a rectangular box is given by:
$$V = l \times w \times h$$where l is the length, w is the width, and h is the height. Because all three sides meet at right angles, multiplying them gives the exact filled space. The result is always in cubic units (unit³).
Worked Example
Suppose a storage box measures 10 cm long, 5 cm wide, and 4 cm tall. The volume is:
$$V = 10 \times 5 \times 4 = 200 \text{ cubic centimeters}$$If you instead measured in meters — say \(2 \text{ m} \times 1.5 \text{ m} \times 0.5 \text{ m}\) — you would get \(V = 1.5\) cubic meters.
FAQ
What units does this calculator use? Any unit you like, as long as all three measurements use the same one. The volume comes out in the cube of that unit.
Does it work for a cube? Yes. A cube is a special box where length, width, and height are equal, so enter the same value three times.
How do I convert cubic centimeters to liters? Divide cubic centimeters by 1,000. For example, \(200 \text{ cm}^3\) equals 0.2 liters.
