A lateral surface area of cube is 256m2. Find its volume?

Answer:

Given

The lateral surface area of cube = 256m2

Let us consider

a = Side of the cube

The total surface area of a cube = 6 × (side)2

The lateral surface area of a cube of the side a = 4 × (side)2

The lateral surface area of a cube = 4 × (a)2

256 = 4a2

a2 = 256/4

a2 = 64

a = 8m

Side of the cube is 8m.

The volume of the cube = a3

The volume of the cube = 83

The volume of the cube = 512m3

The volume of the cube is 512m3.

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