A cube has a volume of 64 cubic units. How many units are in the sum of the lengths of all it's edges?

V = e^3 (e = edge)

64 = e^3
e = 4

Can you take it from here?

To find the sum of the lengths of all the edges of a cube, you need to know the length of one edge. Since the volume of the cube is given as 64 cubic units, we can find the length of the edge using the formula for the volume of a cube.

The formula for the volume of a cube is V = s^3, where V is the volume and s is the length of one edge.

Given that the volume is 64 cubic units, we can solve for s:

64 = s^3

To find s, we need to take the cube root of both sides of the equation:

∛64 = ∛(s^3)

Taking the cube root of 64, we get:

4 = s

So, the length of one edge of the cube is 4 units.

Now, to find the sum of the lengths of all the edges, we can use the formula:

Sum of edge lengths = 12s

Plugging in the value for s (4 units), we can calculate the sum of the lengths:

Sum of edge lengths = 12 * 4

Sum of edge lengths = 48

Therefore, the sum of the lengths of all the edges of the cube is 48 units.