a cyclindrical water storage tank contains 2187 cubic units of water. All the water is pumped equally into 3 congruent cubic coolers. What is the minimum length that each coller need to be?
To find the minimum length that each cooler needs to be, we need to first determine the volume of each cooler when the water is evenly divided among them.
Given:
- Volume of the water storage tank = 2187 cubic units
- There are 3 congruent cubic coolers
Step 1: Find the volume of each cooler.
Since the water is divided equally among the 3 coolers, the volume of each cooler will be the total volume divided by the number of coolers.
Volume of each cooler = Volume of the water storage tank / Number of coolers
Volume of each cooler = 2187 cubic units / 3 coolers
Volume of each cooler = 729 cubic units
Step 2: Find the length of each cooler.
Since each cooler is a cube, all sides have the same length. Therefore, to find the length of each cooler, we need to calculate the cube root of the volume of each cooler.
Length of each cooler = Cube root of volume of each cooler
Length of each cooler = Cube root of 729 cubic units
Length of each cooler = 9 cubic units
Therefore, the minimum length that each cooler needs to be is 9 cubic units.