Question

Arturo purchased the tank below for his aquatic turtle. The tank has a length of 5.5 feet, a width of 4 feet, and a height of h feet. Arturo poured in 74.8 cubic feet of water in the tank to fill it half way. What is the value of h, the height of the tank, in feet?

Answer 1

6.8 ft

Explanation:

You want the height of a tank with a base of 5.5 ft by 4 ft if adding 74.8 ft³ of water fills it halfway.

Volume

The volume of a rectangular prism is given by the formula ...

V = LWH

The filled volume of the tank h feet high is ...

74.8 ft³ = (5.5 ft)(4 ft)(h/2) . . . . . . the filled height is h/2

74.8 ft³/(11 ft²) = h ≈ 6.8 ft . . . . . . divide by the coefficient of h

The height of the tank is 6.8 feet.