SOLUTION: Joe bought a 1 kilogram block of cheese that was 12cm * 10cm * 8cm. When he needed to use it, he found mould on each face of the block. To remove the mould, Joe cut a 1 cm thick s

Algebra ->  Volume -> SOLUTION: Joe bought a 1 kilogram block of cheese that was 12cm * 10cm * 8cm. When he needed to use it, he found mould on each face of the block. To remove the mould, Joe cut a 1 cm thick s      Log On


   

Question 885635: Joe bought a 1 kilogram block of cheese that was 12cm * 10cm * 8cm.
When he needed to use it, he found mould on each face of the block. To remove the mould, Joe cut a 1 cm thick slice from each face.
What was the mass of the remaining block of cheese, in grams?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Joe started with a block of cheese with a volume of
%2812cm%29%2810cm%29%288cm%29=960cm%5E3
Joe ended with a block of cheese with sides measuring
12cm-2cm=10cm ,
10cm-2cm=8cm , and
8cm-2cm=6cm .
The volume of the final, remaining block of cheese is
%2810cm%29%288cm%29%284cm%29=480cm%5E3 .
The final, remaining block of cheese has half the volume of the original block of cheese,
so its weight must be half the weight of the original block of cheese.
The remaining block of cheese as a mass of half a kilogram, or highlight%28500g%29 .

NOTE:
The multiplications for both volumes were easy, but not necessary
The remaining block, as a fraction of the original block is
%2810cm%29%288cm%29%286cm%29%2F%28%2812cm%29%2810cm%29%288cm%29%29==6%2F12=1%2F2