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Use the formula for rectangular-prism volume

Volume of a rectangular prism is the amount of three-dimensional space it occupies, found by multiplying its length, width, and height: V=lwhV=lwh. The dimensions must be measured in consistent units, and the result is expressed in cubic units; the formula applies to cubes as a special case and may involve whole numbers, decimals, or fractions, without extending to more general solids or advanced algebraic treatments.

Detailed Explanation: Use the formula for rectangular-prism volume

The volume of a rectangular prism is the amount of space inside it. To find the volume, multiply its length, width, and height:

V=lwhV=lwh

Make sure all three measurements use the same unit. The answer is written in cubic units because volume measures three dimensions.

Example: A rectangular prism is 8 cm8\text{ cm} long, 3 cm3\text{ cm} wide, and 2 cm2\text{ cm} high. What is its volume?

  1. Identify the dimensions:

    • l=8 cml=8\text{ cm}
    • w=3 cmw=3\text{ cm}
    • h=2 cmh=2\text{ cm}

  2. Use the formula:

V=lwhV=lwh

  1. Substitute the measurements:

V=(8)(3)(2)V=(8)(3)(2)

  1. Multiply:

8×3×2=488\times3\times2=48

  1. Write the answer with cubic units:

48 cm3\boxed{48\text{ cm}^3}

The volume of the rectangular prism is 4848 cubic centimeters.

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    Volume of a Rectangular Prism - Calculate

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