Question

If a polyhedron has a volume of 23cm^3 and is dilated by a factor of 1/5, what will be the volume of the dilated polyhedron?
Round your answer to the nearest thousandth if necessary.
volume=_____

Answer 1

If you dilate all linear dimensions of a solid by a factor of k, the area is dilated by a factor of k^2, and the volume is dilated by a factor of k^3.

Answer 2

so whats the answer? @mathstudent55

Answer 3

The dilation factor is 1/5
What is (1/5)^3 = ?

Answer 4

0.008

Answer 5

so whats the volume then?

Answer 6

Correct.
Now multiply the original volume by 0.008 to find your answer.

Answer 7

0.184 is that the volume?

Answer 8

@mathstudent55

Answer 9

Correct.
0.184 cm^3