   Chapter 9.1, Problem 42E 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

For Exercise 41 to 44, 1 f t 3 of liquid corresponds to 7.5 gallons of the liquid.The gasoline tank on an automobile is “box-shaped” with dimensions of 24 in. by 20 in. by 9 in. What is the capacity of the automobile’s fuel tank in gallons?

To determine

The capacity of the auto mobile’s fuel tank is gallons.

The gasoline tank on an automobile is “box-shaped” with dimensions of 24 in. by 20 in. by 9 in .

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 fuel tank is 24 in. by 20 in. by 9 in.

Thus,

l=24 in

w=20 in

h=9 in

V=lwh

=24209

V=4320 in3.

Now, the obtained measure of volume in the unit of in.3 have to be converted to the unit of gallons.

First let us convert the unit of the volume in in3. to ft3.

We have,

1 inch=112 feet

Thus,

V=4320 in3

=4320 in·in·in

=4320112ft·

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