A room has 750 cubic feet of space. If the room is as high as it is long and wide, what is the approximate height of the rooms ceiling?

Cube root of 750.

9*9*9 = 729

Is that approximate enough?

To find the approximate height of the room's ceiling, we need to determine the side length of the room first. Since the room is as high as it is long and wide, this implies that all sides are equal.

Let's call the side length of the room "x". Since the room is 750 cubic feet in volume, we can set up the following equation:

x * x * x = 750

To solve for x, we can take the cube root of both sides:

x = ∛750

Now, let's calculate the approximate value of x:

x ≈ 9.21 feet

Therefore, the approximate height of the room's ceiling is approximately 9.21 feet.