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Nikolay [14]
3 years ago
5

Express the surface area of a cube as a function of its volume v state its domain

Mathematics
1 answer:
Damm [24]3 years ago
7 0

In this question , we have to express the surface area of a cube in terms of volume of the cube .

The formula of volume of cube with edge length s is

V = s^3

First we have to solve for s, by taking cube root to both sides. That is

s = V^{1/3}

And the formula of surface area of cube is

S = 6s^2

Substituting the value of s, we will get

S= 6(V^{1/3})^2
\\
S= 6V^{2/3}

THerefore,

S(V) = 6V^{2/3}

Domain is related to Volume here.

And Volume cant be negative or 0. So the domain is all positive real numbers .

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