Question

The two prisms below are similar. What is the value of x?

A. 30
B. 1
C. 9
D. 3

Answer 1

D. 3

Explanation:

If the prisms are said to the similar, that means that the ratio/relation between their corresponding sides have to equal, so

`(x)/(1) = (9)/(3) = (30)/(10)`

We can easily use the part x/1 = 9/3 to make a cross-multiplication that would give us:

x = (1 * 9) / 3 = 9/3 = 3

So, the green prism is a dilated version of the blue one by a dilation/scale factor of 3.