A prism has a rectangle for a base. The area of the rectangle is 18 square yards and the height of the prism is 2 yards. What is the volume of the prism?
Understand the Problem
The question describes a prism with a rectangular base. It provides the area of the rectangular base and the height of the prism. It asks to calculate the volume of the prism. The volume of a prism is given the formula V = base area * 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 prism
The volume $V$ of a prism is given by the formula:
$$V = \text{Base Area} \times \text{Height}$$
- Identify the given values
The problem provides the following: Base Area = 24 square centimeters Height = 5 centimeters
- Substitute the values into the formula
Substitute the given values into the volume formula:
$$V = 24 \text{ cm}^2 \times 5 \text{ cm}$$
- Calculate the Volume
Multiply the base area by the height:
$$V = 120 \text{ cm}^3$$
The volume of the rectangular prism is $120 \text{ cm}^3$.
More Information
The volume of a prism is always measured in cubic units, reflecting three dimensions. In this case, the unit is cubic centimeters ($cm^3$).
Tips
A common mistake is forgetting the correct units for volume, which should be cubic units (e.g., $cm^3$) instead of square units (e.g., $cm^2$) or just centimeters (cm). Another common mistake is confusing volume with surface area, or using the wrong formula.
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