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

Answer:

$V=0.135\ units^3$

Step-by-step 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

$z^3=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=135\ units^3$

substitute

$(\frac{1}{10})^3=\frac{x}{135}$

solve for x

$(\frac{1}{1,000})=\frac{x}{135}$

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