2023 · Q59
A solid cube is cut into two cuboids of equal volume. What is the ratio of total surface area of the given cube to that of one of the cuboids?
Elementary MathematicsMensuration
- A2 : 1
- B3 : 2
- C4 : 3
- D5 : 3
Explanation
The cube of side a has surface area 6a². Each half-cuboid measures a × a × a/2 with surface area 2(a² + a²/2 + a²/2) = 4a². The required ratio is 6a² : 4a² = 3 : 2 (B).