\

Rectangular Prism Volume Calculator

Enter any three of the four values (volume, length, height and depth) using consistent units, then click calculate to get the remaining one.

Please enter a valid number.
Please enter a valid number.
Please enter a valid number.
Please enter a valid number.
Please fill in any three of the four values. The remaining one will be calculated automatically.
Result
Rectangular Prism Diagram
长方体体积计算公式:\(V = l \times h \times d\)

About the Rectangular Prism Volume Calculator

A rectangular prism (box) is one of the most common 3D solids, appearing in shipping boxes, rooms, containers and many everyday objects.

If l is length, h is height and d is depth (or width), then the volume formula is V = l × h × d. This calculator is built directly on that simple but very useful formula.

When volume V and two side lengths are known, you can find the remaining side from expressions such as l = V ÷ (h × d). If all three side lengths are known, volume is simply V = l × h × d. As long as you keep the same unit (cm, m, etc.), the result has clear physical meaning.

All inputs must be greater than 0. If the volume is tiny but side lengths are large, or the volume is huge while side lengths are very small, it may indicate inconsistent units or input errors.

Quiz: Test Your Understanding of Boxes and Volume

1. What is the basic volume formula for a rectangular prism?

V = length l × height h × depth d.

2. Can you compute volume if you only know the three edge lengths?

Yes. Multiply the three side lengths to get the volume.

3. If a box has length 5, height 4 and depth 3, what is its volume?

V = 5 × 4 × 3 = 60.

4. If the volume is 120 and length is 5 and depth is 4, what is the height?

Height h = 120 ÷ (5 × 4) = 6.

5. Why must all inputs use the same unit?

Because volume is the product of three lengths; if units differ, the result is not meaningful.

6. In what real situations is rectangular prism volume used?

Shipping and packaging, warehouse capacity estimation, room space calculation, aquarium or tank capacity and more.

7. What if one of the inputs is zero or negative?

That is not physically valid for a real box, and this tool will report that the value must be greater than zero.

8. How does a cube differ from a general rectangular prism in volume formula?

A cube has all edges equal, so V = a³, while a rectangular prism can have three different edge lengths.

9. How can volume help you decide how many small boxes can fit into a big one?

Compute the big box volume and the small box volume, then compare their ratio as a rough upper bound (exact packing also depends on orientation and gaps).

10. What advantages does this online volume calculator have over manual computation?

It allows fast trial of many size combinations, reduces arithmetic mistakes and speeds up design and planning.

Rectangular Prism Volume Tool

This tool lets you calculate the fourth value from any three of volume, length, height and depth. Useful for packaging, storage and geometry problems.

Scan the QR code to use this tool on mobile.