Volume of a Rectangle Calculator

Volume of a Rectangular Prism Calculator

Enter the dimensions of the rectangle into this volume calculator and instantly determine its volume.

Choose a Calculation:

Width (l)

cm ▾

Length (w)

cm ▾

Units (h)

cm ▾

Height:

Volume of a Rectangle Calculator

The volume of a rectangle calculator is usually used to find the volume and unknown sides of a rectangular box, tank, or prism.

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).

Formulas for Rectangular Volume

Volume Formula:

V = L × W × H

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

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.

How to Calculate the Volume of a Rectangular Prism

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)

Instead of memorizing all these formulas, a volume of a rectangle calculator can quickly and accurately compute the volume, surface area, and diagonal.

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.