   Chapter 9.1, Problem 36E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Alekzio plans to pour a 4 in. thick concrete pad. The dimensions of the pad are 36 ft by 30 ft. How many cubic yards of concrete must Alekzio pour?

To determine

To find:

The number of cubic yards of concrete must Alekzio pour.

Explanation

The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude.

For a regular solid prism with base area B and altitude h, the volume is given by the formula

V=Bh.

Calculation:

Given,

The dimensions of the pad are 36 ft by 30 ft.

The height of the concrete (thick) =4 in.

The concrete appears to be in the shape of cuboid with the dimensions of the pad are its length and width and the thickness of the concrete the height.

Thus,

l=36 ft,

w=30 ft, and

h=4 in.

Of the above three given measures, height of the box is measured by the unit of inches while the other two are measured by the unit of foot.

Thus, it is necessary to convert the measure of height from the unit of inches to foot, for the units need to be uniform.

1 feet =12 inches.

112 feet =1 inch

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