Answers MASTER COURSE Geometry Changing Dimensions of 3-D Figures — QuizQuestion 16

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Changing Dimensions of 3-D Figures — Quiz

Question 16 • MASTER COURSE Geometry

A square pyramid has a base side length of 20 point 4 cm and a height of 18 point 2 cm. Which square pyramid is similar?

Answer

A

base side length is equal to 22 point 9 cm, height is equal to 20 point 7 cm

B

base side length is equal to 30 point 6 cm, height is equal to 27 point 3 cm

C

base side length is equal to 40 point 8 cm, height is equal to 45 point 5 cm

D

base side length is equal to 18 point 2 cm, height is equal to 20 point 4 cm

Explanation

Similar pyramids have the same ratio of height to base side length. The original ratio is 18.2 ÷ 20.4 = 0.8922, and choice C has a ratio of 27.3 ÷ 30.6 = 0.8922. Both dimensions in C are 1.5 times the original, so choice C is similar.

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