Question

What is the new volume of a rectangular prism that is originally one hundred ninety-two cubic meters and is then resized using a scale factor of one-quarter on each side length?

three cubic meters

eight cubic meters

twelve cubic meters

forty-eight cubic meters

Answer 1

i think it is 12

Answer 2

well if you look at it this way

original has 4 to 1 in linear...

so volume ratios will be 4^3 : 1^3 so 64 to 1

the you can either use ratios

1/64 = V/192

and solve for V the volume of the smaller

or just find 1/64 of the original volume...

basically the same method

hope it helps

Answer 3

so do i just cross multiply?

Answer 4

yep either way its

V = 1/64*192

Answer 5

thanks :)