Volume of Rectangular Prisms

Calculate volume by multiplying length, width, and height

What is Volume?

Volume measures how much space is inside a 3D shape.

Units: Cubic units like cm³, m³, in³, ft³

$V = l \times w \times h$

where:

You can also think of volume as: $V = (\text{Area of base}) \times \text{height}$

For a cube (all sides equal): $V = s^3$

where $s$ = side length

Find the volume of a box that is 5 cm long, 3 cm wide, and 2 cm tall.

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Solution:

Use the formula $V = l \times w \times h$ :

$V = 5 \times 3 \times 2 = 30$

Answer: 30 cm³

A fish tank is 20 inches long, 10 inches wide, and 12 inches tall. What is its volume?

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Solution:

$V = l \times w \times h$ $V = 20 \times 10 \times 12$ $V = 2,400$

Answer: 2,400 cubic inches (or 2,400 in³)

A storage box has a volume of 120 ft³. The base is 6 feet long and 4 feet wide. How tall is the box?

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Solution:

We know: $V = l \times w \times h$

Substitute what we know: $120 = 6 \times 4 \times h$ $120 = 24 \times h$ $h = 120 \div 24$ $h = 5$

Answer: The box is 5 feet tall

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