Question

The new shark tank at the city aquarium is in the shape of a rectangular prism. It is 87 ft long by 36 ft wide by 15 ft deep. deep. To make the tank livable for the sharks, the aquarium workers treat the water using bags of salt. The amount of water a bag of salt can treat is known in cubic yards.

Find the volume of water in the tank in cubic yards. Use the table of conversion facts, as needed.
To make the tank livable for the sharks, a bag of salt must be added for each 1.1 yds3 of water. The aquarium doesn't have any salt on hand and the salt can only be purchased in whole bags. How many bags of salt must be purchased to treat the water?
If each bag of salt costs $4.85, how much must the aquarium pay for salt to treat all the water in the new shark tank?

Answer 1

Explanation:

Answer:

1. The volume of water in the tank in cubic yards can be calculated by multiplying the length, width, and depth of the tank in feet by the conversion factor of 0.037037 yds3/ft3:

87 ft x 36 ft x 15 ft x 0.037037 yds3/ft3 = 997.78 yds3

2. To treat the water, the aquarium must purchase 998 bags of salt, as 1.1 yds3 of water requires one bag of salt.

3. The aquarium must pay $4,835.30 for the salt to treat the water in the new shark tank. This is calculated by multiplying the number of bags of salt (998) by the cost of one bag of salt ($4.85).