The volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large as the first prism

The volume of the similar prism is

Step-by-step explanation:

we know that

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

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

In this problem we have

-----> the scale factor

substitute and solve for x

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p