Question

Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot in the sandbox. What is the length, in feet, of one of the sides of the sandbox?

Answer 1

If Tim bought 128 sandbags to completely fill a cube-shaped sandbox, and each bag fills a cubic foot in the sandbox, then the number of cubic feet in the sandbox is equal to the number of sandbags.

So, the length of one side of the cube-shaped sandbox, in feet, is the cube root of 128:

Length of one side = ∛128 = 4 feet

Therefore, each side of the sandbox is 4 feet long.

Answer 2

Let's denote the length of one side of the cube-shaped sandbox as
x feet. Since the volume of a cube is given by
x cubic (in cubic feet in this case), and each sandbag fills one cubic foot, we can set up an equation to represent the total volume of the sandbox:

x cubic = 128

To find x, we'll take the cube root of both sides:

Then X will be 4.

So, one side of the cube-shaped sandbox is 4 feet long.