Mensurationhard · Past Paper

A solid cube is cut into two equal halves by a plane parallel to one of its faces. Find the ratio of the total surface area of one half to the original cube.

A1:2
B2:3
C3:4
D4:5

✓ Correct Answer: B2:3

Cube TSA = 6a². Half (cuboid a x a x a/2) TSA = 2(a² + a²/2 + a²/2) = 2(2a²) = 4a². Ratio = 4:6 = 2:3.

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