if the length , the width and the height of a prism are doubled, the volume increases how many times?

Question

directrix · Answer

Apply this theorem: If two solids are similar, the the ratio of their volumes is the cube of the scale factor of the two solids.

If the dimensions are doubled, then the scale factor from small to large prism is 1/2.

What is the cube of the number (1/2)?  The denominator of the cube is the number you seek.

anonymous · Answer

It increases 8 times from the original length, width and height.

directrix · Answer

@LOL10

anonymous · Answer

I tried different numbers to substitute lwh and I got 8 times. So I think you should try substituting number too and see if my answer is right or wrong :) I hope that helps.

directrix · Answer

OpenStudy values the Learning process - not the ‘Give you an answer’ process
•Don’t post only answers - guide the asker to a solution.
@ettenelalovesnutella

anonymous · Answer

I did! I said that he/she substitutes a number for lwh and divide it to the original numbers' volume.