At the marine park, one of the aquariums is
shaped like a rectangular prism. The inside
dimensions are 22 feet long, 9 feet wide, and
7 feet high to the water line.
9 ft
22 ft
7 ft
Which equation could be used to find the
volume of water that would have to be re-
moved to lower the water level to 5 feet?
volume of the full tank = (9)(22)(7) ft^3
volume at 5 ft high = (9)(22)(5)
subtract the two volumes
To find the volume of water that would have to be removed to lower the water level to 5 feet, you would need to calculate the difference between the initial water level and the desired water level.
The initial water level is given as 7 feet, and the desired water level is 5 feet.
To calculate the volume of water that needs to be removed, you would need to find the volume of the rectangular prism that represents the aquarium, and then subtract the volume of the new water level from the initial water level.
The equation to find the volume of a rectangular prism is:
Volume = length x width x height
In this case, the length is 22 feet, the width is 9 feet, and the initial height is 7 feet.
Therefore, the equation to find the volume of the aquarium is:
Volume = 22 ft x 9 ft x 7 ft
To find the volume of the new water level, you would use the same equation, but with the new height of 5 feet.
So, the equation to find the volume of water that needs to be removed is:
Volume of water to be removed = (22 ft x 9 ft x 7 ft) - (22 ft x 9 ft x 5 ft)
Simplifying the equation:
Volume of water to be removed = 22 ft x 9 ft x (7 ft - 5 ft)
Final equation:
Volume of water to be removed = 22 ft x 9 ft x 2 ft
Therefore, the equation that could be used to find the volume of water that would have to be removed to lower the water level to 5 feet is:
Volume of water to be removed = 22 ft x 9 ft x 2 ft