SOLUTION: A metal cube of edge 8cm. The corner A is cut of the cube a by plane which passes through the middle points of the edges through A.Find the volume of the metal removed?

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Question 756681: A metal cube of edge 8cm. The corner A is cut of the cube a by plane which passes through the middle points of the edges through A.Find the volume of the metal removed?
Answer by Gogonati(855) About Me  (Show Source):
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The shape of the metal removed is a pyramid with a right triangle as a base and height 4 cm. The volume of a pyramid is given by the formula:
B=%284X4%29%2F2=8+cm%5E2, H=4cm
V=%281%2F3%29%28BXH%29=%281%2F3%29%288X4%29=%2832%2F3%29+cm%5E3