Maths · Distance formula, sections formula, locus and its equation
The weight of a cubic meter of a certain metal is 480 kg. It is melted and then
The weight of a cubic meter of a certain metal is 480 kg. It is melted and then rolled into a square bar \( 4 m \) long. Now, an exact cube is cut from it. Find the weight of the cube
- A. \( 240 \mathrm{kg} \)
- B. \( 80 \mathrm{kg} \)
- C. \( 120 \mathrm{kg} \)
- D. \( 60 \mathrm{kg} \)
Step-by-step solution
Density = 480 kg/m³. Original volume = 1 m³ (since weight of 1 m³ is 480 kg). After melting, volume remains 1 m³. Square bar length = 4 m, so cross-sectional area = 1/4 = 0.25 m². Side of square = √0.25 = 0.5 m. Cube cut has side 0.5 m, volume = 0.5³ = 0.125 m³. Weight = 480 × 0.125 = 60 kg.
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