Question
A solid cube with side 'a' is made of a material
weighing 400 kg. Another cube is hollow, made of the same material, with an outer side length '3a' and an inner side length '2a'. Find the weight of the hollow cube.Solution
For the solid cube: Volume of the solid cube = a³ Weight of the solid cube = 400 kg Thus, a³ corresponds to 400 kg. For the hollow cube: Outer side length = 3a Inner side length = 2a Volume of the hollow cube = (3a)³ - (2a)³ = 27a³ - 8a³ = 19a³ Weight of the hollow cube = 19 × 400 = 7600 kg. Answer: c
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