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Volume of a Rectangular Prism Calculator

Enter the dimensions of a rectangular prism to instantly calculate its volume in your preferred unit of measurement.

Choose a Calculation:

Length (l)

cm ▾

Width (w)

cm ▾

Height (h)

cm ▾

Units:

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Volume of a Rectangular Prism Calculator:

Need to find the volume of a rectangular prism quickly and accurately? Whether you are a student solving a geometry problem or planning for a project, our free volume of a rectangular prism calculator helps you determine the space inside any box-shaped object in seconds.

What is a Rectangular Prism?

A rectangular prism is a three-dimensional (3D) geometric shape with six rectangular faces, 12 edges, and 8 vertices (corners). It is also known as a cuboid or a box-shaped object.

Examples:

Rooms and buildings
Storage containers
Bricks
Aquariums

Volume:

Volume is the amount of space a rectangular box, tank, or prism can hold. For example, the volume of a fish tank represents how much water it can contain. Volume is typically measured in cubic units such as cubic inches (in³) or cubic centimeters (cm³).

How to Find the Volume of a Rectangular Prism?

The formula used is:

V = L × W × H

V = volume
L = length of the rectangle
W = width of the rectangle
H = height of the rectangle

Follow these steps depending on the information you have:

Given length, width, and height:
- Volume: V = L × W × H
- Surface Area: S = 2(LW + LH + WH)
- Diagonal: d = √(L² + W² + H²)
Given area, length, and width:
- Height: H = (S - 2LW) / (2L + 2W)
- Volume: V = L × W × H
- Diagonal: d = √(L² + W² + H²)
Given length, width, and volume:
- Height: H = V / (L × W)
- Surface Area: S = 2(LW + LH + WH)
- Diagonal: d = √(L² + W² + H²)
Given diagonal, length, and width:
- Height: H = √(d² - L² - W²)
- Volume: V = L × W × H
- Surface Area: S = 2(LW + LH + WH)

Surface Area of a Rectangular Solid

S = 2(LW + LH + WH)

Space Diagonal of a Rectangular Prism

d = √(L² + W² + H²)

If the formulas seem complex, you can use an online volume of a rectangle calculator to get precise results with minimal input.

Example:

Find the volume of a rectangular swimming pool that is 25 feet long, 12 feet wide, and 4 feet high.

Solution

Length (L) = 25 ft
Width (W) = 12 ft
Height (H) = 4 ft

Using the volume formula:

V = L × W × H = 25 × 12 × 4 = 1200 ft³

Therefore, the swimming pool has a volume of 1200 cubic feet.

Rather than calculating the volume by hand, enter the dimensions into the volume of a rectangular prism calculator to get instant and accurate results.

How To Use the Volume of a Rectangular Prism Calculator?

Enter the Dimensions: Input the length, width, and height of your object
Select Your Units: Choose your unit and ensure your measurements are in the same unit (e.g., all in centimeters or all in inches) for the accuracy of the result
Result: Click on the "Calculate" button to see the total volume

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