Answer the base of the prism is a right angle triangle and area is 27 in 2 and according to question base area is 54 in 2 this is a incorrect way of calculating area of right angle triangle if area is incorrect calculated, then volume obviously will be incorrect. Explanation Given information: Length of base(b) of the right triangle is 9 in Length of height( h' ) of the right triangle is 6 in Height( h ) of the prism is 10 in Formula used: Area of right angle triangle( B ) = Volume( V ) of right triangular prism = Calculation: Substituting value of Length of base(b),Length of height( h' ) of the right triangle and Height( h ) of the prism, On calculation answer is- =270 in 3 According to question volume of the prism: V = Bh On solving the answer is- =540 in 3 Conclusion: Due to incorrect base formula applied in the question that's why answer is incorrect which is 540 in 3 . Where as by using correct right angle triangle formula that's why answer is 270 in 3

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 10.7, Problem 6E

To determine

To explain why the following calculation would not give the correct volume for the prism

Expert Solution & Answer

Answer to Problem 6E

the base of the prism is a right angle triangle and area is 27 in² and according to question base area is 54 in² this is a incorrect way of calculating area of right angle triangle if area is incorrect calculated, then volume obviously will be incorrect.

Explanation of Solution

Given information:

Length of base(b) of the right triangle is 9 in

Length of height( h' ) of the right triangle is 6 in

Height( h ) of the prism is 10 in

Formula used:

Area of right angle triangle( B ) = Pre-Algebra, Chapter 10.7, Problem 6E , additional homework tip 1

Volume( V ) of right triangular prism = Pre-Algebra, Chapter 10.7, Problem 6E , additional homework tip 2

Calculation:

Substituting value of Length of base(b),Length of height( h' ) of the right triangle and Height( h ) of the prism,

Pre-Algebra, Chapter 10.7, Problem 6E , additional homework tip 3 On calculation answer is-

=270 in³

According to question volume of the prism: V = Bh Pre-Algebra, Chapter 10.7, Problem 6E , additional homework tip 4

On solving the answer is-

=540 in³

Conclusion:

Due to incorrect base formula applied in the question that's why answer is incorrect which is 540 in³.

Where as by using correct right angle triangle formula that's why answer is 270 in³

Chapter 10.7, Problem 5E

Chapter 10.7, Problem 7E

Chapter 10 Solutions

Pre-Algebra

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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