Mensurationhard · Past Paper
Find the ratio of the surface area of a cube to that of a sphere of the same volume.
A∛(6/π) : 1
B1 : 1
C6 : π
D√(6/π) : 1
✓ Correct Answer: A — ∛(6/π) : 1
Let vol V. Cube side a=V^(1/3). Area = 6V^(2/3). Sphere radius r=(3V/4π)^(1/3). Area = 4π(3V/4π)^(2/3). Ratio simplifies to (6/π)^(1/3) : 1.
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