2023 · Q51
What is the radius of the sphere passing through the corners of the cuboid with edges 8 cm, 12 cm and 24 cm?
Elementary MathematicsMensuration
- A10.5 cm
- B14 cm
- C21 cm
- D28 cm
Explanation
A sphere through all eight corners of a cuboid has the cuboid's space diagonal as its diameter. The diagonal is √(8² + 12² + 24²) = √(64 + 144 + 576) = √784 = 28 cm. The radius is half of this: 14 cm. The answer is (B).