Answers 22SS - 1207350 - Mathematics for College Liberal Arts - Sem. 2 - CR Surface Area — Unit testQuestion 7

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Surface Area — Unit test

Question 7 • *22SS - 1207350 - Mathematics for College Liberal Arts - Sem. 2 - CR

A square pyramid has a base side length of 20.4 cm and a height of 18.2 cm. Which square pyramid is similar?

Answer

A

base side length = 18.2 cm, height = 20.4 cm

B

base side length = 22.9 cm, height = 20.7 cm

C

base side length = 30.6 cm, height = 27.3 cm

D

base side length = 40.8 cm, height = 45.5 cm

Explanation

Similar pyramids have the same ratio of base side length to height. The original ratio is 20.4 ÷ 18.2, which is about 1.121. Choice C has a ratio of 30.6 ÷ 27.3, also about 1.121; both measurements are 1.5 times the original. So the pyramid in choice C is similar.

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