Calculate the volume of a right rectangular prism with length 10 inches, width 5.5 inches, and height 4 inches.
Understand the Problem
The question asks us to calculate the volume of a rectangular prism given its length, width, and height. The volume of a rectangular prism is found by multiplying its length, width, and height.
Answer
$120 \text{ cm}^3$
Answer for screen readers
The volume of the rectangular prism is $120 \text{ cm}^3$.
Steps to Solve
- State the formula for the volume of a rectangular prism
The volume $V$ of a rectangular prism (also known as a cuboid) is given by the formula: $$ V = l \times w \times h $$ where $l$ is the length, $w$ is the width, and $h$ is the height of the prism.
- Substitute the given values into the formula
We are given: $l = 8$ cm $w = 5$ cm $h = 3$ cm
Substitute these values into the volume formula: $$ V = 8 \text{ cm} \times 5 \text{ cm} \times 3 \text{ cm} $$
- Calculate the volume
Multiply the values: $$ V = 8 \times 5 \times 3 \text{ cm}^3 $$ $$ V = 40 \times 3 \text{ cm}^3 $$ $$ V = 120 \text{ cm}^3 $$
The volume of the rectangular prism is $120 \text{ cm}^3$.
More Information
The volume represents the amount of space occupied by the rectangular prism. It is measured in cubic units, in this case, cubic centimeters ($\text{cm}^3$).
Tips
A common mistake is to add the dimensions instead of multiplying them. Remember that volume is a product of length, width, and height, not their sum.
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