Question

The solid below is dilated by a scale factor of one half
2
1
​
. Find the volume of the solid created upon dilation.
10
3
5
Answer
Attempt 1 out of 2

Answer 1

I can’t see the solid from your message. But the rule you need is:

- A dilation by scale factor k changes volume by k^3.
- Here k = 1/2, so new volume = (1/2)^3 = 1/8 of the original volume.

So find the original solid’s volume Vorig (compute from the figure), then the dilated volume = Vorig ÷ 8.

If you give the original volume or upload the picture, I’ll compute the numeric answer. (If the multiple‑choice options 10, 3, 5 are the possible answers, the original volume would have to be 80 → 10, 24 → 3, or 40 → 5.)