Answer: 538
Explanation:
To solve this problem, we need to compare the volumes of the two aquariums and determine the time it takes to fill the second aquarium.
The volume of the first aquarium is given by:
Volume = Length x Width x Height
= 6 inches x 8 inches x 8 inches
= 384 cubic inches
The volume of the second aquarium is given by:
Volume = Length x Width x Height
= 19 inches x 15 inches x 19 inches
= 5415 cubic inches
To find the time it takes to fill the second aquarium, we can set up a proportion using the volumes and times:
(384 cubic inches / 5415 cubic inches) = (38 minutes / x minutes)
Cross-multiplying, we get:
384 cubic inches * x minutes = 5415 cubic inches * 38 minutes
Simplifying further:
x minutes = (5415 cubic inches * 38 minutes) / 384 cubic inches
x minutes ≈ 538.125 minutes
Rounding the answer to the nearest minute, it will take approximately 538 minutes to fill the second aquarium with the same hose.