First, find the length of the side of the given cube.
96cm^3
Practice makes perfect
In order to find the total surface area of the given cube, we need to first find the length of its sides.
Side Length
Let's visualize the situation by drawing a cube and letting s be the length of its sides.
When we find the volume of a cube, we multiply its three side measurements — the length, the width, and the height — which all happen to be the same. Recall that multiplying a number by itself three times is the same as raising the number to the power of 3.
V= s* s* s ⇔ V= s^3
Since we already know that the volume is 64 cubic centimeters, we will substitute this value for V in the equation and solve for s. To do so, we will take the cube root of both sides of the equation.
The length of each side of a cube with a volume of 64 cubic centimeters is 4 centimeters.
Total Surface Area
To calculate the total surface area of the cube, we can use the known formula where s is the length of its side.
S=6 * s^2
We can calculate the surface area by substituting s= 4 into the equation and solving for S. Let's do it!
