Question

What is the scale factor of a cube with a volume of 512m^3 to a cube with a volume of 3,375m^3

A. 8:15
B. 64:225
C. 15:8
D. 225:64

Answer 1

What is the scale factor of a cube with a volume of 512 m^3 to a cube with a volume of 3,375 m^3?
8:15 (a) 

Answer 2

The scale factor of a cube with a volume of 512m^3 to a cube with a volume of 3,375m^3 will be 8:15

What is scale factor?

• The scale factor states the scale by which a figure is bigger or smaller than the original figure.

How to solve this problem?

The steps are as follow:

• According to given problem:

Volume of cube 1 = 512 m^3

Volume of cube 2 = 3375 m^3

• The formula for scale factor is as follow:

Scale factor =

$\sqrt[3]{ \frac{volume \: of \: cube \: 1}{volume \: of \: cube \: 2} } = \sqrt[3]{ \frac{512}{3375} } = \frac{8}{15}$

So the scale factor of a cube with a volume of 512m^3 to a cube with a volume of 3,375m^3 will be 8:15

Learn more about scale factor here:

https://brainly.com/question/10253650

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