Question

Please help! Please explain how to do this.
One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm 3 , what is the volume of the larger prism?

Answer 1

well, you know that the larger prism is 3 times the size of the small one.

so if you know the volume of the small one is 4.75, what 1 step would you do to find the volume of the bigger one?

Answer 2

I think you have to find the surface area, right?

Answer 3

nope, you are thinking too hard. only one step needed to solve this.

think of it this way: let's say i have two pieces of string.

the length of string 1 is 2 inches long.
the length of string 2 is 3 times the length of string 1.

how would i find out what string 2's length is?

Answer 4

you would multiply the length by three I think.

Answer 5

yup, exactly.

same idea as in your problem, except instead of length of strings we are dealing with volume of prisms.

think of it like:
you have Cube A, which is 4.75cm^3
you have Cube B, which is 3 times Cube A.

what would be the volume of Cube B then?

Answer 6

14.25?

Answer 7

bingo, yup.

the units stay the same also, so its just 14.25cm^3

Answer 8

oh wow that's so easy! It kinda weird how I think beyond what it's suppose to be. Thanks for explaining! :)