Question

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

Answer 1

The volume of the similar prism is
`336\ cm^(3)`

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

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

In this problem we have

`z=2` -----> the scale factor

`y=42\ cm^(3)`

substitute and solve for x

`x=42(2^(3))=336\ cm^(3)`