The new shark tank at the city aquarium is in the shape of a rectangular prism. It is

Question

69ft
long by
45ft
wide by
12ft
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.
(a) Find the volume of water in the tank in cubic yards. Use the table of conversion facts, as needed.
yd3


(b) To make the tank livable for the sharks, a bag of salt must be added for each
1.3yd3
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?
bags


(c) If each bag of salt costs
$4.65
, how much must the aquarium pay for salt to treat all the water in the new shark tank?

Answer 1

(a) To find the volume of water in cubic yards, we need to convert the dimensions from feet to yards first:

Length: 69ft ÷ 3 = 23yd
Width: 45ft ÷ 3 = 15yd
Depth: 12ft ÷ 3 = 4yd

Then we can calculate the volume:

Volume = Length x Width x Depth = 23yd x 15yd x 4yd = 1380yd³

Therefore, the volume of water in the tank is 1380 cubic yards.

(b) To treat the water, we need to add one bag of salt for every 1.3 cubic yards of water. We can use division to find out how many bags are needed:

Number of bags needed = Volume of water ÷ Volume of water per bag
Number of bags needed = 1380yd³ ÷ 1.3yd³/bag
Number of bags needed = 1061.54 bags

Since we can only purchase whole bags of salt, we need to round up to the nearest whole number. Therefore, we need to purchase 1062 bags of salt.

(c) If each bag of salt costs $4.65, we can multiply the number of bags by the cost per bag to find the total cost:

Total cost = Number of bags x Cost per bag
Total cost = 1062 bags x $4.65/bag
Total cost = $4929.30

Therefore, the aquarium must pay $4929.30 for salt to treat all the water in the new shark tank.

Answer 2

1061.54 as a whole number

Answer 3

1062 (rounded up to the nearest whole number).