The volume of a cube is 2744 cm3. Its surface area is
Given: volume of a cube is 2744 cm3.
We know that the Volume of a cube is given by: a3 (here ‘a’ is edge length of cube)
∴ a3 = 2744
⇒ a = ∛ 2744
⇒ a =14cm
∴ Edge length of the cube is 14cm.
Surface area of a cube is given by: 6a2 (here ‘a’ is the edge length)
Let ‘S’ be the surface area of the given Cube.
∴ S = 6a2
⇒ S = 6 × (14)2
⇒ S = 1176 cm2
∴ Surface area of the given cube is 1176 cm2