To determine the surface area of a cube when you know its volume, you can follow these straightforward steps:
The volume of a cube is given by the formula:
Volume (V) = side³
In this case, we have a volume of 8 cubic units:
V = 8
To find the length of one side (s) of the cube, we can take the cube root of the volume:
s = ∛(8)
Calculating the cube root, we find:
s = 2 units
Now that we have the length of one side, we can calculate the surface area of the cube using the formula:
Surface Area (A) = 6 × side²
Substituting the value of the side:
A = 6 × (2)²
Calculating this gives us:
A = 6 × 4 = 24 square units
Thus, if the volume of a cube is 8 cubic units, the surface area is 24 square units.
This relationship illustrates how the dimensions of the cube interact, and it can be useful in various geometric applications and problem-solving scenarios.