Question

kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic feet of water. If the aquarium is 2 feet wide and 3 feet long, how high should the water fill the aquarium

Answer 1

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

The volume of cuboid is given as:

volume of cuboid =
`l * w * h`

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

`9 = 3 * 2 * h\\\\9 = 6 * h\\\\h = (9)/(6) = 1.5`

Thus the height of aquarium is 1.5 feet