Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 7, Problem 22PT

(a)

To determine

To find: The volume of prism in terms of x .

(a)

Expert Solution
Check Mark

Answer to Problem 22PT

The volume of rectangular prism is 2x3+11x2+15x .

Explanation of Solution

Given information:

Given that the rectangular prism has dimensions x , x+3 , and 2x+5 .

Calculation:

The rectangular prism with BCHG .

Line of base BC=x+3 .

Width of base CH=x

Height of Prism AB=2x+5 .

  Algebra 1, Chapter 7, Problem 22PT

Volume of rectangular Prism = area of base × height

Taking x , x+3 as sides of base, and 2x+5 as height.

Area of base = product of sides of base

  A=x(x+3)A=x2+3x

Therefore, volume of rectangular prism

  V=2x3+11x2+15xV=(x2)(2x+5)+[(3x)(2x)+(3x)(5)]V=[2x3+5x2]+[6x2+15x]

Distributive property

  V=[2x3+5x2]+[6x2+15x]V=(2x3)+(11x2)+(15x)V=2x3+11x2+15x

Therefore, the volume of rectangular prism is 2x3+11x2+15x .

(b)

To determine

To find: The compare the volumes.

(b)

Expert Solution
Check Mark

Answer to Problem 22PT

The volume has increased by increasing length of side.

Explanation of Solution

Given information:

Given that choose two values of x .

Calculation:

Take x=2 .

Then volume of rectangular prism is

  V=2(2)3+11(2)2+15(2)V=16+44+30V=90

Take x=3 .

Then volume of rectangular prism is

  V=2(3)3+11(3)2+15(3)V=54+99+45V=198

Therefore, the volume has increased by increasing length of side.

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Chapter 7, Problem 29MCQ
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Chapter 7, Problem 25PT

Chapter 7 Solutions

Algebra 1

Ch. 7.1 - Prob. 57PPSCh. 7.1 - Prob. 61PPSCh. 7.1 - Prob. 62PPSCh. 7.1 - Prob. 63PPSCh. 7.1 - Prob. 64HPCh. 7.1 - Prob. 65HPCh. 7.1 - Prob. 66HPCh. 7.1 - Prob. 67HPCh. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 1BCYP
Ch. 7.1 - Prob. 1CCYPCh. 7.1 - Prob. 1DCYPCh. 7.1 - Prob. 2ACYPCh. 7.1 - Prob. 2BCYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 4ACYPCh. 7.1 - Prob. 4BCYPCh. 7.1 - Prob. 5CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - 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Prob. 60SRCh. 7.7 - Prob. 61SRCh. 7.7 - Prob. 62SRCh. 7.7 - Prob. 63SCh. 7.7 - Prob. 64SCh. 7.7 - Prob. 65SCh. 7.7 - Prob. 66SCh. 7.8 - Prob. 7CYUCh. 7.8 - Prob. 21PPSCh. 7.8 - Prob. 55PPSCh. 7.8 - Prob. 56PPSCh. 7.8 - Prob. 57HPCh. 7.8 - Prob. 58HPCh. 7.8 - Prob. 59HPCh. 7.8 - Prob. 60HPCh. 7.8 - Prob. 61HPCh. 7.8 - Prob. 1ACYPCh. 7.8 - Prob. 1BCYPCh. 7.8 - Prob. 2ACYPCh. 7.8 - Prob. 2BCYPCh. 7.8 - Prob. 3ACYPCh. 7.8 - Prob. 3BCYPCh. 7.8 - Prob. 4ACYPCh. 7.8 - Prob. 4BCYPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3CYUCh. 7.8 - Prob. 4CYUCh. 7.8 - Prob. 5CYUCh. 7.8 - Prob. 6CYUCh. 7.8 - Prob. 8CYUCh. 7.8 - Prob. 9CYUCh. 7.8 - Prob. 10CYUCh. 7.8 - Prob. 11CYUCh. 7.8 - Prob. 12PPSCh. 7.8 - Prob. 13PPSCh. 7.8 - Prob. 14PPSCh. 7.8 - Prob. 15PPSCh. 7.8 - Prob. 16PPSCh. 7.8 - Prob. 17PPSCh. 7.8 - Prob. 18PPSCh. 7.8 - Prob. 19PPSCh. 7.8 - Prob. 20PPSCh. 7.8 - Prob. 22PPSCh. 7.8 - Prob. 23PPSCh. 7.8 - Prob. 24PPSCh. 7.8 - Prob. 25PPSCh. 7.8 - Prob. 26PPSCh. 7.8 - Prob. 27PPSCh. 7.8 - Prob. 28PPSCh. 7.8 - Prob. 29PPSCh. 7.8 - Prob. 30PPSCh. 7.8 - Prob. 31PPSCh. 7.8 - Prob. 32PPSCh. 7.8 - Prob. 33PPSCh. 7.8 - Prob. 34PPSCh. 7.8 - Prob. 35PPSCh. 7.8 - Prob. 36PPSCh. 7.8 - Prob. 37PPSCh. 7.8 - Prob. 38PPSCh. 7.8 - Prob. 39PPSCh. 7.8 - Prob. 40PPSCh. 7.8 - Prob. 41PPSCh. 7.8 - Prob. 42PPSCh. 7.8 - Prob. 43PPSCh. 7.8 - Prob. 44PPSCh. 7.8 - Prob. 45PPSCh. 7.8 - Prob. 46PPSCh. 7.8 - Prob. 47PPSCh. 7.8 - Prob. 48PPSCh. 7.8 - Prob. 49PPSCh. 7.8 - Prob. 50PPSCh. 7.8 - Prob. 51PPSCh. 7.8 - Prob. 52PPSCh. 7.8 - Prob. 53PPSCh. 7.8 - Prob. 54PPSCh. 7.8 - Prob. 62STPCh. 7.8 - Prob. 63STPCh. 7.8 - Prob. 64STPCh. 7.8 - Prob. 65STPCh. 7.8 - Prob. 66SRCh. 7.8 - Prob. 67SRCh. 7.8 - Prob. 68SRCh. 7.8 - Prob. 69SRCh. 7.8 - Prob. 70SRCh. 7.8 - Prob. 71SRCh. 7.8 - Prob. 72SRCh. 7.8 - Prob. 73SRCh. 7.8 - Prob. 74SRCh. 7.8 - Prob. 75SRCh. 7.8 - Prob. 76SRCh. 7.8 - Prob. 77SRCh. 7.8 - Prob. 78SRCh. 7.8 - Prob. 79SRCh. 7.8 - Prob. 80SRCh. 7.8 - Prob. 81SRCh. 7.8 - Prob. 82SRCh. 7.8 - Prob. 83SRCh. 7.8 - Prob. 84SRCh. 7.8 - Prob. 85SRCh. 7.8 - Prob. 86SCh. 7.8 - Prob. 87SCh. 7.8 - Prob. 88SCh. 7.8 - Prob. 89SCh. 7 - Prob. 29MCQCh. 7 - Prob. 22PTCh. 7 - Prob. 25PTCh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 9QCCh. 7 - Prob. 10QCCh. 7 - Prob. 11QCCh. 7 - Prob. 12QCCh. 7 - Prob. 13QCCh. 7 - Prob. 14QCCh. 7 - Prob. 15QCCh. 7 - Prob. 16QCCh. 7 - Prob. 17QCCh. 7 - Prob. 18QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 11SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 10MCQ

Additional Math Textbook Solutions

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In Exercises 2123, use determinants to find out if the matrix is invertible. 23. [2006175038600754]

Linear Algebra and Its Applications (5th Edition)

TRY IT :: 1.78 Translate from math notation to words: (13)(7) (b) 5(16)

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Solve d2+10d=9 by completing the square.

Elementary Algebra

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra (7th Edition)

For the following exercises, divide the rational expressions. 30.16a224a + 94a2 + 17a1516a294a2 + 11a + 6

College Algebra

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

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