The figure below is being filled with deer corn. What is the volume of the container?
Understand the Problem
The question asks us to calculate the volume of the container given the side lengths. To do this, we can use the formula Volume = length * width * height. The length is 4 ft, the width is 2 ft, and the height is 2.25 ft.
Answer
$18 \text{ ft}^3$
Answer for screen readers
$V = 18 \text{ ft}^3$
Steps to Solve
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Write the formula for the volume of a rectangular prism The volume $V$ of a rectangular prism 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.
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Substitute the given values into the formula We are given $l = 4$ ft, $w = 2$ ft, and $h = 2.25$ ft. Substituting these values into the formula, we get: $$ V = 4 \times 2 \times 2.25 $$
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Calculate the volume Multiplying the numbers: $$ V = 8 \times 2.25 $$ $$ V = 18 $$
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Write the units The volume is in cubic feet (ft$^3$).
$V = 18 \text{ ft}^3$
More Information
The volume of the container is 18 cubic feet. This represents the amount of space inside the container suitable for filling with deer corn, or any other substance.
Tips
A common mistake would be to mix up the length, width, and height when substituting into the formula. Another mistake would be to forget the units or use the wrong units.
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