Question

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

Answer 1

C) 5

because

3 -->15 =×5

1×5=5

Answer 2

Answer: The correct option is (C) 5.

Step-by-step explanation: Given that the two prisms shown in the figure are similar.

We are to find the value of x.

We know that

the corresponding side lengths of two similar figures are proportional.

From the figure, we note that the pairs of corresponding side lengths of the two prisms are (2, 10), (15, 3) and (1, x).

Therefore, we must have

`(2)/(10)=(3)/(15)=(1)/(x)\\\\\\\Rightarrow x=(10)/(2)\\\\\Rightarrow x=5.`

Thus, the value of x is 5.

Option (C) is CORRECT.