Question
What is the area of a circle whose radius is equal to the
length of a cube’s edge, if the cube's total surface area is 1,944 cm²? (Take π = 3)Solution
ATQ,
Total surface area of cube = 6 × edge²
So, 6 × edge² = 1,944
Or, edge² = 324
Or, edge = ±18
But edge cannot be negative.
So, edge = 18 cm
Area of circle = π × radius² = 3 × 18² = 3 × 324 = 972 cm²
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