   Chapter 9.1, Problem 41E 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.Kianna’s aquarium is “box-shaped” with dimensions of 2 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons.

To determine

To find:

The water capacity of Kianna’s aquarium in gallons.

Explanation

Given,

The dimensions of the box-shaped aquarium 2ft by 1 ft by 8 in.

Here, we have

l=2 ft

w=1 ft

h=8 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 feet.

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

1 feet = 12 inches.

112 feet = 1 inch.

Thus,

1 inch =112 feet

8 inch =812 feet

8 inch =23 feet

Hence;

h=8 inches =23 feet

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

V=lwh

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