   Chapter 9.1, Problem 38E 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

In excavating for a new house, the Philpott Brothers dig a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?

To determine

To find:

The number of cubic yards of dirt were removed.

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 hole are 54 ft long by 36 ft wide by 9 ft deep.

Here, we have

l=54 ft,

w=36 ft, and

h=9 ft.

Now, the volume of the closed box is given by the formula

V=lwh

=54 ft·36 ft·9 ft

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