Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 484: 42


a)$V=$$(4s)^3$ b) $V=48$$\pi$$s^2$ c)$V=$$(4s)^3$$-$$48$$\pi$$s^2$ d)$V=$$(4s)$$(4s^2$$-$$12$$\pi$$)$ e)$V=$$182,088$$ in^2$

Work Step by Step

a)The formula for the volume of a cube is $l$$\times$$w$$\times$$h$, so $4s$$\times$$4s$$\times$$4s$ =$(4s)^3$. b) The volume of a cylinder is $\pi$$r^2$$h$ so $V=48$$\pi$$s^2$ c)The volume of the cylinder has to be subtracted from the volume of the cube, so $V=$$(4s)^3$$-$$48$$\pi$$s^2$ d)The Greatest Common Factor of the two terms in part c is $4s$, so $V=4s($$(4s)^2$$-$$12$$\pi$$s)$. e)Plug and chug the given values into the new simplified equation: $V=4(15)($$(4(15))^2$$-$$12(3.14)(15))$$=182,088$$ in^2$
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