Asked by Hannah
if the volume of a rectangular prism is 420 cubic units what is its vilume if one dimension is halved a second dimension is reduced to one third its original length and a third dimension remains unchanged?
How would I do this?
How would I do this?
Answers
Answered by
Reiny
original:
length --- x
width ---- y
height ---z
xyz = 420
new prism
length --- x/2
width ---- y/3
height --- z
(x/2)(y/3)z =
= xyz/6
= 420/6
= 70 units3
notice it wouldn't matter which dimensions are halved and cut into thirds, I could have used other combinations. The final result is that it would be 1/6 of the original
length --- x
width ---- y
height ---z
xyz = 420
new prism
length --- x/2
width ---- y/3
height --- z
(x/2)(y/3)z =
= xyz/6
= 420/6
= 70 units3
notice it wouldn't matter which dimensions are halved and cut into thirds, I could have used other combinations. The final result is that it would be 1/6 of the original
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