The length of the rectangular parallelepiped aquarium is 5 inches and the width is 4/5 of the length.

The length of the rectangular parallelepiped aquarium is 5 inches and the width is 4/5 of the length. When 40 liters of water was poured into the aquarium, it turned out to be 2/3 full of its volume. How much of the length is the height of the aquarium?

First, let’s find the entire volume of the aquarium.

V = 40 l ÷ 2/3 = 60 l = 60 dm³

Next, let’s find the width of the aquarium. Let’s denote the width as x, compose and solve the equation.

x = 5 dm * 4/5.

x = 4 dm.

Now let’s find the height of the aquarium.

60 dm³ ÷ 5 dm ÷ 4 dm = 3 dm.

To find out the ratio of the height to the length of the aquarium, you need to divide the height by the length.

3 dm ÷ 5 dm = 3/5.

Answer: The height of the aquarium is 3/5 of the length.