The longest diagonal of a cuboid is equal to the diameter of a sphere in which it is inscribed. If the sphere's radius is 17 cm, and two dimensions of the cuboid are 18 cm and 24 cm, what is the third dimension?
Show answer & explanation
Correct answer: C
Explanation
Radius of sphere = 17 cm
Hence diameter = 34 cm
Diagonal of cuboid = 34 cm
Diagonal² = 18² + 24² + x²
34² = 324 + 576 + x²
1156 = 900 + x²
x² = 256
x = 16 cm