How do you find the surface area of a cube with volume?

Length of each side of the cube
= ³√15625 cm
= 25 cm

A cube has 6 faces of squares.
Surface area of the cube
= 25² × 6 cm²
= 3750 cm²

The direct method is A = 6V^(2/3) = 6[15,625^(2/3)] = 3750 cm^2

It might seem easier to recognise 25*25*25 = 15625 and work out area as
A = 6*25^2 = 3750 cm^2

Linear units are cm.;
Cube with side length s  has volume, V, = s^3 and surface area, A, = 6s^2.
Here, V = 15625cm^3 = 5^6cm^3 = s^3. Then s = 5^2cm = 25cm.;
A = 6*(25cm)^2 = 6*625cm^2 = 3750cm^2.

 The surface area of a cube that has a volume of 15,625 cm^3:
  (25^2*6) cm^2 = 3,750 cm^2

For cubes, and only cubes

V = s^3
V^(1/3) = s

SA = 6s^2
SA = 6 * (V^(1/3))^2
SA = 6 * V^(2/3)

V = 15625

SA =>
6 * 15625^(2/3) =>
6 * 625 =>
3750

3750 cm^2

If s represent the length of the side of a cube the formulas for volume and surface area are as follows:
SA=6*s^2V=s^3To find SA given V solve for the length of a side, s.

s = 3√(V)

Plug this in for side in the formula for SA.

SA=6*(3√(v))^2=6*3√(v^2)

For this particular problem...15625

SA=6*3√(15625^2)=6*3√(244140625)=6*625=3750