Question

Analyze the diagram below and complete the instructions that follow.

The two triangular prisms are similar. Find the volume of the smaller prism. Round your answer to the nearest hundredth.
A. 40.7ft³
B. 40.88ft³
C. 41.3ft³
D. 41.8ft³​

Answer 1

D

Explanation:

7.6/3.8 = 2

The dilation is by scale factor 2.

8/2 = 4

11/2=5.5

Calculate the volume.

Cross section × height

4 × 3.8 × 1/2 × 5.5 = 41.8

The volume of the smaller prism is 41.8 ft³.