   Chapter 9.1, Problem 7E 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

Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and that each lateral face has an area of 18 cm2. Find the total (surface) area of the prism. To determine

To find:

The total (surface) area of the prism.

Explanation

The total area of any solid is the area of all the number of lateral sides that it have, including the area of the top and the bottom of solid.

Thus, the total area (T) of any solid prism with its lateral area (L) and base area (B) is given by the formula.

T=L+2B

Here, we have 2B since, any solid prison will have two bases (One upper part and another the lower part).

Calculation:

Given,

The base area of the hexagonal prism (each base) =12 cm2.

The Lateral face area of the hexagonal prism (each) =18 cm2.

Thus, here we have

B=12 cm2 and

But, the lateral area ‘L’ of the hexagonal prism is given by multiplying the area of a lateral face of the prism by 6

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