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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?

Chapter 9.1, Problem 27E, The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch

To determine

To find:

The total cost of constructing the box.

Explanation

Given,

The dimensions of the box is,

1 ft ×5 in. ×6 in.

The cost of making the lateral surface = 1 cent per square inch.

The cost of making the bases = 2 cent per square inch.

Here, we have

l= 1 ft,

w=5 in., and

h=6 in.

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

Thus, it is necessary to convert the measure of length from the unit of foot to inches, for the units need to be uniform and also as the cost of making is given for one square inch.

1 foot =12 in.

Thus,

l = 1ft = 12 in.

Now, find the lateral area (L) and the area of the bases of the box.

The lateral area of the box is given by the formula L=2wh+hl substute, the values of

l=12 in.

w=5 in.

h=6 in

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