Question

The MCPS (Mega-Cougar Pet Store) is a giant pet warehouse with a huge selection of fish tanks. The fish section of the store is 6 feet deep by 40 feet wide by 15 feet tall. Each fish tank is 24 inches by 36 inches by 24 inches tall. If each tank contains an average of 16 fish, how many fish are in the store and how did you get the answer?

a. 4,800 fish - Convert feet to inches.

b. 4,800 fish - Use the inches in each fish tank that measured 24 x 36 x 24.

c. 4,800 fish – Take the giant warehouse and divide it in half.

d. 4,800 fish – I just guessed

Answer 1

The correct option is a.

Explanation:

The fish section of the store is 6 feet deep by 40 feet wide by 15 feet tall.

Length of the fish section= L = 40 feet = 40 × 12 inch

( 1 Foot = 12 inch)

Width of the fish section = B = 15 feet = 15 × 12 inch

Height of fish section = H = 6 feet= 6 × 12 inch

Volume of the fish section = V = L × B × H

Each fish tank is 24 inches by 36 inches by 24 inches tall:

Length of fish tank ,l = 24 inches =

Width of fish tank,b = 36 inches

Height of fish tank,h = 24 inches

Volume of the each fish tank, v = l × b × h

Number of fish tanks be n.

`n=(V)/(v)=(40* 12 inches* 15* 12 inches* 6 * 12 inches)/(24 inches * 36 inches* 24 inches)`

`n=300`

If each tank contains an average of 16 fish.Then total number of fishes in the tank:

=
`n* 16 fishes=300* 16 fishes=4800 fishes`

Answer 2

There are 4800 fish in the store.

Explanation:

Since the dimensions of fish section is 40 feet × 15 feet × 6 feet

Now we will convert the dimensions into inches.

1 feet = 12 inches

Therefore dimension will be (40×12) in. × (15×12) in. × (6×12) in.

The volume of fish section will be V = 480 × 180 × 72 in³ = 6220800 in.³

Now volume of each fish tank = 24×36×24 = 20736 in.³

Now we know each fish tank contains an average of 16 fish.

Therefore from unitary method we can calculate the numbers of fish in the store.

Numbers of fish = (6220800×16)/20736 = 4800

So the answer is 4800 fish.