the area of three adjacent faces of a rectangular box are 2A 2B and 2c prove that volume square is equals to 8 ABC
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the area of three adjacent faces of a rectangular box are 2A 2B and 2c prove that volume square is equals to 8 ABC
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Step-by-step explanation:
volume of box = LBH = 2A×2B×2C =8ABC
Answer
Let dimensions be x, y and z of box
Volume will be V = xyz
Given
xy = 2A
yz = 2B
zx = 2C
Multiply all three equations
So Volume square is 8ABC