Question

An aquarium can be modeled as a right rectangular prism. Its dimensions are 13 in by 5 in by 4 in. If the aquarium contains 153 cubic inches of water, what percent is empty? Round your answer to the nearest whole number if necessary.

Answer 1

41%

Explanation:

The volume of the aquarium is:

V = l × w × h

V = 13 in × 5 in × 4 in

V = 260 cubic inches

The volume of water in the aquarium is given as 153 cubic inches. Therefore, the volume of empty space in the aquarium is:

260 - 153 = 107 cubic inches

To find the percentage of the aquarium that is empty, we can divide the volume of empty space by the total volume and multiply by 100:

Empty space percentage = (Volume of empty space / Total volume) × 100

Empty space percentage = (107 / 260) × 100

Empty space percentage ≈ 41%

Therefore, the aquarium is approximately 41% empty.