If the surface area of a cube is 5046 cm2, then the volume of the cube is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 24389 cm3.
Surface area of a cube = 5046 cm2
Surface area of a cube = 6 × side2
Volume of a cube = side3
⇒ 6 × side2 = 5046
⇒ Side2 = 841
⇒ Side = 29 cm
Hence, Volume of the cube = 29 × 29 × 29 = 24389 cm3