A magician is preparing for a show and has just ordered a cubic vault for a trick. On the vault's description only it says the vault has a volume of 64 cubic feet. What are the side lengths of this vault?

To find the side lengths of the cubic vault, you need to find the cube root of its volume. The volume of the vault is given as 64 cubic feet.

So, the side length of the cubic vault is:
∛64 = 4

Therefore, the side lengths of the vault are all 4 feet.

To find the side lengths of a cubic vault with a volume of 64 cubic feet, we can use the formula for the volume of a cube. The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of a side.

In this case, we are given that the volume of the vault is 64 cubic feet, so we can set up the equation:

64 = s^3

To find the side length s, we need to take the cube root of both sides of the equation. By taking the cube root, we can find the value of s:

∛64 = ∛(s^3)

Simplifying further:

4 = s

Therefore, the side length of the vault is 4 feet.

To find the side lengths of the cubic vault, we need to determine the length of each side.

Since a cubic vault has all sides equal in length, we can find the side length by taking the cube root of the volume.

In this case, the volume of the vault is given as 64 cubic feet.

Taking the cube root of 64, we get:

∛64 = 4

Therefore, the side length of the vault is 4 feet.