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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.1, Problem 8E
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Elementary Geometry for College St...

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

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Problem 1E
Problem 2E
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Problem 4E
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Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
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Problem 14E
Problem 15E
Problem 16E
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Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
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Problem 25E
Problem 26E
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Problem 30E
Problem 31E
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Problem 43E
Problem 44E
Problem 45E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in2 and that each lateral face has an area of 4.6 in2. Find the total (surface) area of the prism.

Chapter 9.1, Problem 8E, Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in2 and that

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 prism will have two bases (One upper part and another the lower part).

Calculation:

Given,

The base area of the triangular prism (each) =3.4 in2.

The lateral face area of the triangular prism (each) =4.6 in2.

Thus, here we have

B=3.4 in2. and

But the lateral area ‘L’ of the triangular prism is given by multiplying the area of a lateral face of the prism by 3 since, a triangular prism has three lateral faces of same area

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Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
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