SOLUTION: Anna builds a rectangular prism storage container with dimensions of 8 inches by 6 inches by 12 inches. She builds a second container with a greater volume by increasing the dimens

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Question 854965: Anna builds a rectangular prism storage container with dimensions of 8 inches by 6 inches by 12 inches. She builds a second container with a greater volume by increasing the dimensions of the rectangular prism to 16 inches by 12 inches by 24 inches.
How will the volume of the second container she builds compare to the volume of the first one?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the first prism/container was
length%2Awidth%2Aheight ,
but there is no need to multiply the numbers given.
Anna doubled length, width, and height to build the second prism/container.
The volume of the second prism is
,
so the second prism's volume is 8 times larger.

When a figure or a solid is enlarged by a factor k (conserving shape and proportions),
the volume increases by a factor k%5E3=k%2Ak%2Ak ,
and the surface increases by k%5E2=k%2Ak .