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

D

Step-by-step 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.

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have