If the longest diagonal of a cube is √432 cm, then its volume is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 1,728 cm3
Diagonal of cube = √12
Volume of cube = (side)3
diagonal = side × √3
side × √3 = √432
side × √3 = 12√3
side = 12 cm
Volume of cube = (side)3 = (12)3 = 1728 cm3