Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Chapter 5.6, Problem 42E

To determine

To Find: The difference in the surface area of the large cube and the sum of the surface area of the small cubes.

Expert Solution & Answer

Answer to Problem 42E

(A)24 in2

Explanation of Solution

Given:Eight cubes each with an edge of length one inch, are positioned together to create a large cube.

Area of one face of small cube= s2=12=1 in2

Surface area of the small cube.

S.A=6s=6(1)=6 in2

Area of the one face of the large cube= s2=22=4 in2

Surface area of the larger cube

S.A=6s=6(4)=24 in2

Surface area of all small cubes= 8(6)=48 in2

Difference in the surface area.

48−24=24 in2

Thus correct option is (A)24 in2

Chapter 5.6, Problem 41E

Chapter 5.7, Problem 1GCE

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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