Question
Download Solution PDFA cubic metre of copper weighing 15,000 kg is rolled into a square bar 4 m long. An exact cube is cut off from the bar. How much does the cube weigh?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Volume of copper = 1 cubic metre
Weight of copper = 15,000 kg
Length of the square bar = 4 m
Formula Used:
Volume of square bar = Length × Cross-sectional area
Volume of cube = Side3
Weight of cube = (Volume of cube / Volume of original copper) × Weight of original copper
Calculation:
Volume of square bar = 1 cubic metre
Let the side of the square cross-section be 'a' metres.
Volume of square bar = 4 × a2
⇒ 4a2 = 1
⇒ a2 = 1/4
⇒ a = 1/2 = 0.5 metres
Side of the cube = 0.5 metres
Volume of the cube = (0.5)3 = 0.125 cubic metres
Weight of cube = (0.125 / 1) × 15,000
Weight of cube = 0.125 × 15,000
Weight of cube = 1,875 kg
The weight of the cube is 1,875 kg.
Last updated on Dec 9, 2024
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