   Chapter 9.CR, Problem 4CR 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

The base of a right prism is a rectangle whose length is 3 cm more than its width. If the altitude of the prism is 12 cm and the lateral area is 360 cm², find the total area and the volume of the prism.

To determine

To find:

The total area and the volume of the prism.

Explanation

Formula used:

Lateral area L of any prism whose altitude has measure h and whose base has perimeter p is given by the formula,

L=ph(1)

Total area of rectangle:

T=2lw+2lh+2wh(2)

Volume of Square Box:

V=lwh(3)

Given:

The base of a prism is a rectangle whose length is 3 cm more than its width. If the altitude of the prism is 12 cm and the lateral area is 360cm2.

Calculation:

The height of a rectangle prism is 12 cm. and then length of the rectangle prism is 3 cm more than its width.

So, l=3+w(4)

Where l is the length of the rectangle and w is the width of the rectangle as shown in the figure

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