A cubic metre of cube weighing 9000 kg is rolled into a square for 9 m long . Now an exact cube is cut off from the box . How much does the cube weigh ?
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Volume of the cubic meter substance = 1m³ weight = 9000 kg
density = 9000 kg/m³
square bar volume = 1 m³, dimensions = L x L x 9 m = 9 L² m³
L = side of the square of the cross section of the bar
So 9 L² = 1 m³
L² = 1/9 => L = 1/3 m
Dimensions of the cube that is cut off from the bar: 1/3 m X 1/3 m X 1/3 m
Volume = 1/27 m³
Its weight = 9000 * 1/27 = 333.33 kg
density = 9000 kg/m³
square bar volume = 1 m³, dimensions = L x L x 9 m = 9 L² m³
L = side of the square of the cross section of the bar
So 9 L² = 1 m³
L² = 1/9 => L = 1/3 m
Dimensions of the cube that is cut off from the bar: 1/3 m X 1/3 m X 1/3 m
Volume = 1/27 m³
Its weight = 9000 * 1/27 = 333.33 kg
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