Define a formula that expresses the volume V of a cube in te

Define a formula that expresses the volume V of a cube in terms of its surface area A

Solution

Solution:

Let us assume the side of a cube is = “a“ unit

Surface area of cube = 6 x side² = 6 a²

Assume surface area as S

thus S = 6 a²

a= (S/6) ... (1)

Now we know that volume of cube = side³ = a³

let the volume of cube as V

thus V = a³

plug the value of “a“ from equation (1)

V = ( (S/6) ) ³

V = ( S/6)^3/2

Where V is volume and S is surface area .

Answer