21 A small cube and a large cube with edge lengths represented by expressions are shown in the diagram below. (a) x inches 3x inches The small cube has a volume of 64 cubic inches. Part A What is the value of æ? Show or explain how you got your answer.

21 A small cube and a large cube with edge lengths represented by expressions are shown in the diagram below. (a) x inches 3x inches The small cube has a volume of 64 cubic inches. Part A What is the value of æ? Show or explain how you got your answer.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus.

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

PART A: What is the value of x? Show or explain how you got your answer. PART B: What is the surface area, in square inches, of the small cube? Show or explain how you got your answer. PART C: The surface area of the large cube is how many times the surface area of the small cube? Show or explain how you got your answer. PART D: The volume of the large cube is how many times the volume of the small cube? Show or explain how you got your answer.

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