Question
A solid rectangular parallelepiped (cuboid) has
dimensions 10 cm × 8 cm × 6 cm. It is melted and cast into small cubes each of side 2 cm. How many such cubes are formed, and what is the total surface area of all the cubes together?Solution
ATQ, Volume of cuboid = 10 × 8 × 6 = 480 cm³ Volume of one cube = 2³ = 8 cm³ Number of cubes = 480 / 8 = 60 Surface area of one cube = 6 × (2²) = 6 × 4 = 24 cm² Total surface area = 60 × 24 = 1440 cm²
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