A warehouse is shaped like a cube. Its volume is 1,000 cubic meters. The area of the base is 100 square meters. Explain how you can find the height of the warehouse.
1000/100 = ?
To help you understand:
Volume of cube = side^3
Area = Side^2
To find the height of the warehouse, we need to use the formula for the volume of a cube.
The formula for the volume of a cube is V = s^3, where V represents the volume and s represents the length of one side of the cube.
In this case, we are given that the volume is 1,000 cubic meters, so we can plug in the value of V into the equation:
1,000 = s^3.
Since the warehouse is shaped like a cube, all sides are equal in length, meaning the length of one side is the same as the height of the warehouse.
Therefore, we need to solve for s in order to find the height. By taking the cube root of both sides of the equation, we can isolate s:
∛1,000 = ∛s^3.
The cube root of 1,000 is 10, so we have:
10 = s.
Thus, the height of the warehouse is 10 meters.