
Concept explainers
To find: the volume of the mailbox

Answer to Problem 18PPS
The volume of the figure is
Explanation of Solution
Given:
Formula used:
The volume V of the cylinder is
Calculation:
The objective is to find the volume of the figure.
The required volume is the sum of the volume of half cylinder having diameter 6.75 in. and the volume of a rectangular prism.
The volume V of the cylinder is given by the formula
where
The volume V of a rectangular prism is given by the formula
whereB is the area of a face and h is the height.
Since radius is half the diameter of a circle, so radius of the circle is
The area B of the circle is given
Put
Thus, the volume
Therefore, the volume of the half cylinder is
Next find the volume of the rectangular prism.
From the figure the area B is a rectangle whose length is 6.75 in. and width is 6.375 in.
The area B of the rectangle is given by
Put
Thus, the volume
Therefore, the volume of the rectangular prism is
Thus, the required volume V is
Therefore, the volume of the figure is approximately
Conclusion:
Therefore, the volume of the figure is
Chapter 12 Solutions
Pre-Algebra, Student Edition
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