A rectangular hole 8.2 m long, 4.4 m wide, and 5 m deep is used as a compost pit. If the soil removed from the rectangular hole will be placed inside a square can with edge 5.5 m, will all the soil exactly fit inside the can or will there be any leftovers? Explain.
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Answer:
Volume of rectangular hole
V = l x w x h
V = 8.2 m x 4.4 m x 5 m
V = 180.4 cu.m
Volume of square can
V =
V = (5.5 m x 5.5 m x 5.5 m)
V = 166.375 cu.m
Volume of rectangular hole - Volume of square can
180.4 cu.m - 166.375 cu.m = 14.025 cu.m left over
Left over is 14.025 cu.m
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