Question

HELP!!!!!
If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second prism?


A. 11.7
B. 32.4
C. 90
D. 250

Answer 1

@johnweldon1993 @mathmale

Answer 2

If the ratio of the sides is 3:5...the ratio of the volumes will be 3^3:5^3 or 27:125
Does that help? Can you take it from there?

Answer 3

can work that out

Answer 4

can u work that out

Answer 5

not sure how to solve

Answer 6

Well it's true...the ratio would be the cubes of the side ratio...so

3^3 : 5^3 = 27 : 125

This would be the volume ratio...

If the first prism is the smaller one...we can denote that as the "27" side...

so the volume of the smaller is 54

\[\large \frac{54}{x} = \frac{27}{125}\]

Now you can solve for 'x'

Answer 7

I got 62.5

Answer 8

Try it again...cross multiply first...what do you get?

Answer 9

oh cross mulitiply is 250 yay!! thanks