Question 86803: Here is the question that I am having trouble with:
Two blocks, each of length x, width x+4, and height x, are cut out of
a block of length 3x+4, width x+4, and height x. All dimensions are
given in centimeters. Find the volume of the resulting solid.
Am I suppose to figure out the volume of the original block and then subtract the cut out block? Also since it states that there were two blocks cut out do I have to double everything for the cout out volume? Can you help me set this up? Thank you very much.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two blocks, each of length x, width x+4, and height x, are cut out of
a block of length 3x+4, width x+4, and height x. All dimensions are
given in centimeters. Find the volume of the resulting solid.
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Volume of original block: Vo = (3x+4)(x+4)(x)
Volume of one of the two smaller blocks: Vs = x*x*(x+4)
EQUATION:
Vo/Vs = 2
Solve for x.
Find Vo and find Vs; one of them is the "so-called" resulting solid.
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Cheers,
Stan H.
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