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A metal cube with an edge of one foot is melted into a rectangular solid one eighth of a foot in height. What is the area of the top of the new solid? a-1/64 square ft b-1/8 c-1/4 d-4 e-8
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We know that the volumes must be the same. We know that the volume of a rectangular solid is lwh So the volume of the cube is 1x1x1 or 1 Therefore the volume of the rectangular solid is also 1 The height is 1/8 So 1/8(lw)=1 And lw is the area of the top of the new solid.
So is it E?
Yes. 1/8 times 8 = 1
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