SOLUTION: the lateral surface area of a cube is 576 sq.m. Find its volume

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Question 1022509: the lateral surface area of a cube is 576 sq.m. Find its volume
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
the lateral surface area of a cube is 576 sq.m. Find its volume
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s = side length
SA = 4s^2 = 576
s = 12
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Vol = s^3 = 1728 cubic meters

Answer by ikleyn(52914) (Show Source):
You can put this solution on YOUR website!
.
the lateral surface area of a cube is 576 sq.m. Find its volume
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The lateral surface area of the cube consists of 4 congruent squares.

The area of one square is = 144 sq. m.

Hence, the side measure is = 12 m.

Then the volume is = 1728 .