13
QuizMultiple Choice

Changing Dimensions of 3-D Figures

Question 13 • *CR CCSS Math 2 S2 [M2960OX]

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.

AI-written and checked against the verified answer.

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