Question

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.

What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answer 1

45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

Answer 2

Answer: The scale factor is 0.125.

Explanation:

Given: The volume of the prism=
`360\ yd^3`

The scaled volume of the prism=
`45\ yd^3`

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume by the volume of prism , we get

`k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=(45)/(360)=(1)/(8)=0.125`

Hence, the scale factor k = 0.125