Question

What is the value of x, given that the two prisms are similar?

Answer 1

Answer: OPTION D

Step-by-step explanation:

Given the similar prisms shown in the image, the first step is to set up the following proportion, where "x"  is the missing lenght:

$\frac{9}{3}=\frac{x}{20}$

And finally you need to solve for the lenght "x" to find its value.

To solve for "x" you can multiply both sides of the equation by 20.

Then, the result is:

$(20)(\frac{9}{3})=(\frac{x}{20})(20)\\\\\frac{9*20}{3}=x\\\\\frac{180}{3}=x\\\\x=60$

Answer 2

Answer:

The correct answer option is D. 60.

Step-by-step explanation:

We are given the diagram of two prisms with known side lengths other than x. Given that these prisms are similar, we are to find the value of x.

Considering the similarity of these prisms, we will use the ratio method to find x.

$\frac { 3 } { 2 0 } = \frac { 9 } { x }$

$x = \frac { 6 \times 2 0 } { 3 }$

x = 60