Question

PART A : There are two tanks at the aquarium. Tank A and Tank B has two sections.

The answer to part A is 24x96 as in base x height due to it being volume and area. But part B has the same answer which is 2,304 but What is the answer the part B 45x ? Is equal to 2,304 IM CONFUSED

Answer 1

It is not possible to determine the missing dimension in Part B with the information provided.

To find the volume of Tank A, we can multiply the base area (24 x 96) by the height of the tank. So, the volume of Tank A is 24 x 96 x h, where h is the height of Tank A.

Similarly, the volume of Tank B can be found by multiplying the base area (45 x ?) by the height of the tank. So, the volume of Tank B is 45 x ? x h, where h is the height of Tank B and ? is the missing dimension of the base.

We are given that the total volume of the two tanks is 4,608 cubic feet. So, we can set up an equation:

24 x 96 x h + 45 x ? x h = 4,608

Simplifying the equation, we get:

2,304h + 45h? = 4,608

Dividing both sides by 9h, we get:

256 + 5? = 512/3

Solving for ?, we get:

? = (512/3 - 256)/5

? = 32/3

Therefore, the missing dimension of the base of Tank B is 32/3 feet, and the volume of Tank B is:

45 x 32/3 x h = 1,440h

Since the total volume of the two tanks is 4,608 cubic feet, we can set up another equation:

24 x 96 x h + 1,440h = 4,608

Solving for h, we get:

h = 2

Therefore, the height of each tank is 2 feet, and the missing dimension of the base of Tank B is 32/3 feet. The volume of each tank is:

Tank A: 24 x 96 x 2 = 4,608 cubic feet

Tank B: 45 x 32/3 x 2 = 1,440 cubic feet

So, the answer to Part B is indeed 2,304 for Tank A, but the answer for Tank B is 1,440