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?
750^(1/3) = 9.1 approximately
What is the cat say
To find the approximate height of the room's ceiling, we need to determine the cube root of the room's volume.
Step 1: Calculate the volume of the room.
Given that the room has a volume of 750 cubic feet, the equation is:
Volume = length x width x height
Since the room is as high as it is long and wide, we can represent the equation as follows:
Volume = length x length x length
So, the equation becomes:
750 = length^3
Step 2: Solve for the length.
To find the length of the room, we need to take the cube root of both sides of the equation:
∛750 = ∛(length^3)
The cube root of 750 is approximately 9.01.
So, the equation becomes:
9.01 ≈ length
Therefore, the approximate length of the room is 9.01 feet.
Since the room's height is the same as its length, the approximate height of the room's ceiling is also 9.01 feet.