Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

End-of-Course Assessment - Page 969: 50

Answer

$135$ cm$^3$, or (F)

Work Step by Step

We know that the length of the side of the base is $9$, which is $4$ more than the height. Height $= x = 9-4 = 5$. With $x$ known, we can plug in to find the volume: $V(5) = \frac{1}{3}(x^3+8x^2+16x) \\ = \frac{1}{3}(5^3 + 8*5^2+16*5) = 135$
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