The ratio of the sides of two similar prisms is 6 :1. Predict the ratio of the volumes of the prisms.
A) 18 :1
B) 12 :1
C) 216 :1
D) 6 :1
E) 36 :1

Question

The ratio of the sides of two similar prisms is 6 :1. Predict the ratio of the volumes of the prisms. ​
A) 18 :1
B) 12 :1
C) 216 :1
D) 6 :1
E) 36 :1

Quizplus · Accepted Answer

The ratio of the volumes of two similar prisms is the cube of the ratio of their corresponding sides. Therefore, the ratio of the volumes of the two prisms is (6)^3 : 1^3 = 216 : 1. So, the answer is (C) 216:1.

The Ratio of the Sides of Two Similar Prisms Is