A prism has a rectangle for a base. The area of the rectangle is 13 1/2 square yards and the height of the prism is 5 1/3 yards. What is the volume of the prism?
Understand the Problem
The question asks us to find the volume of a prism, given the area of its rectangular base and its height. To find the volume, we multiply the area of the base by the height of the prism.
Answer
$240$ cubic inches
Answer for screen readers
$240$ cubic inches
Steps to Solve
- Recall the formula for the volume of a prism
The volume $V$ of a prism is given by the formula: $$V = A \times h$$ where $A$ is the area of the base and $h$ is the height of the prism.
- Substitute the given values into the formula
We are given that the area of the rectangular base is $A = 24$ square inches and the height of the prism is $h = 10$ inches. Substituting these values into the formula: $$V = 24 \times 10$$
- Calculate the volume
Multiply the area of the base by the height: $$V = 240$$ The volume of the prism is 240 cubic inches.
$240$ cubic inches
More Information
The volume is measured in cubic inches because we are multiplying an area (in square inches) by a length (in inches).
Tips
A common mistake is to confuse the area of the base with the length of one of its sides. Remember that the problem provides the area of the base, not the side lengths. Another mistake could be using the wrong formula. For a prism, the volume is the area of the base multiplied by the height.
AI-generated content may contain errors. Please verify critical information
