if the area of the base of a prism is multiplied by 10 while the height is kept constant, what is the effect on the volume?

Question

asnaseer · Answer

Volume = Area of base x Height

So, if the Area of the base is multiplied by 10, what will happen to the volume?

anonymous · Answer

well wat r the height??

anonymous · Answer

so the answer would be: expand?

anonymous · Answer

thats wat i think.....maybe srry not really good at this

asnaseer · Answer

yes - and by how much?

call the original area of the base A, and call the height h. Then:

Volume = Ah

now new area of base is 10 times old area, so new area (B) = 10B, so:

New Volume = Bh = 10Ah

asnaseer · Answer

that should have been B = 10A up there!

asnaseer · Answer

so now compare the new volume to the old volume - by how much has it become bigger?

anonymous · Answer

10 times

asnaseer · Answer

bingo! - you got it - well done!