Q:

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

Accepted Solution

A:
The water should fill the aquarium to 1.5 feetSolution: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 feetGiven that aquarium is 2 feet wide and 3 feet longTo find: Height of aquariumSince a aquarium is in shape of cuboid, we can use the volume of cuboid formulaThe volume of cuboid is given as:volume of cuboid = [tex]l \times w \times h[/tex]Where "l" is the length w is the width"h" is the heightSubstituting the values, we get,[tex]9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5[/tex]Thus the height of aquarium is 1.5 feet