Problems Involving Volume Worksheets With Answer Key - Part 3 Module 9 Page 3
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11EXAMPLE 3.9.1 solution
We need to find the volume of the pedestal, in cubic yards, and then multiply by the cost
factor of $70 per cubic yard. Recall the general formula for computing the volume of a
rectangular solid:
V = LWH
In this case, L = 9 feet, W = 9 feet and H = 6 inches. Since we want to compute volume
in cubic yards, we should convert all three measurements to yards before using the
formula for volume. To convert from feet to yards we divide by 3; to convert from inches
to yards we divide by 36.
L = 9 feet = (9/3) yards = 3 yards
W = 9 feet = (9/3) yards = 3 yards
H = 6 inches = (6/36) yards = 1/6 yards
Now we compute the volume:
Volume = (3 yards)(3 yards)(1/6 yards) = 9/6 cubic yards = 1.5 cubic yards
Finally, we multiply by the cost factor:
Cost = (1.5 cu yd)($70 per cu yd) = $105
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