A new aquarium for a zoo exhibit is constructed as a square pyramid on top of a square prism as shown in the diagram below (not to scale). The base of the prism and the base of the pyramid have the same width of 9 feet. The height of the prism is 8 feet. The height of the pyramid is 7 feet. The tank will be filled with water at a constant rate of 120 cubic feet per hour. Determine how long it will take for the tank to be completely filled. Enter your answer as a decimal rounded to the nearest tenth if necessary.

To find out how long it will take to fill the aquarium, we first need to calculate the total volume of the aquarium, which consists of the volumes of both the square prism and the square pyramid.

### Step 1: Calculate the Volume of the Square Prism

The formula for the volume of a prism is:

[

V = text{Base Area} times text{Height}

]

For a square prism:

– Base Area = side × side = ( 9 , text{ft} times 9 , text{ft} = 81 , text{ft}^2 )

– Height = 8 ft

So, the volume of the prism is:

[

V_{text{prism}} = 81 , text{ft}^2 times 8 , text{ft} = 648 , text{ft}^3

]

### Step 2: Calculate the Volume of the Square Pyramid

The formula for the volume of a pyramid is:

[

V = frac{1}{3} times text{Base Area} times text{Height}

]

For the pyramid:

– Base Area = ( 9 , text{ft} times 9 , text{ft} = 81 , text{ft}^2 )

– Height = 7 ft

So, the volume