The surface area of a cube is 1536 cm². Its volume is:

Correct option is D

Given:

Surface area of a cube = 1536 cm²

Formula Used:

Surface area of cube = 6a²

Volume of cube = a³

Solution:

Surface are of cube = 1535

​$$6a^2 = 1536$$​​

​$$a^2 = \frac{1536}{6} = 256$$​​

a = 16 cm

Volume of the cube:

​$$a^3 = 16^3 = 4096 \text{ cm}^3$$​​