Question

What is the volume of a rectangular Prism if it is scaled down by a factor of 1/10? Original volume is 135.

Answer 1

`V=0.135\ units^3`

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to teh scale factor elevated o the cube

Let

z ----> the scale factor

x ----> the volume of the dilated prism

y ----> the volume of the original prism

`z^3=(x)/(y)`

we have

`z=(1)/(10)`

`y=135\ units^3`

substitute

`((1)/(10))^3=(x)/(135)`

solve for x

`((1)/(1,000))=(x)/(135)`

`x=135/1,000=0.135\ units^3`