The total surface area of a cube is 864 cm2. Its volume is
Given: The total surface area of a cube is 864 cm2.
We know that the Volume of a cube is given by: 6a2 (here ‘a’ is edge length of cube)
∴ 6a2 = 864
⇒ a2 = = 144
⇒ a =√ 144
⇒ a =12cm
∴ Edge length of the cube is 12cm.
Volume of a cube is given by: a3 (here ‘a’ is the edge length)
Let ‘V’ be the Volume of the given Cube.
∴ V = a3
⇒ V = (12)3
⇒ V = 1728 cm3
∴ Volume of the given cube is 1728 cm3