Question

question 5 of 42
what is the value of x, given that the two prisms are similar?
a. 20
b. 10
c. 40
d. 30

Explanation:

Step1: Find the scale factor

The corresponding sides of the similar prisms: for the triangular bases, the sides are 3, 4, 5 (small prism) and 6, 8, 10 (large prism). The scale factor is $\frac{6}{3} = 2$ (or $\frac{8}{4}=2$, $\frac{10}{5}=2$).

Step2: Apply scale factor to length

The length of the small prism is 20. For similar prisms, the ratio of lengths is equal to the scale factor. So $x = 20\times2 = 40$.

Answer:

C. 40