It takes a hose 3 minutes to fill a rectangular aquarium 10 inches long, 12 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 22 inches by 30 inches by 33 inches?
The 6-inch pizza has 580 calories. Determine the number of calories in the
16-inch pizza.
To determine how long it will take to fill the larger aquarium, we need to compare the volumes of the two aquariums.
The volume of the first aquarium is calculated by multiplying its length, width, and height:
Volume1 = 10 inches * 12 inches * 13 inches
And the volume of the second aquarium is calculated using the same formula:
Volume2 = 22 inches * 30 inches * 33 inches
Now, let's find the ratio between the two volumes:
Ratio = Volume2 / Volume1
Once we have the ratio, we can multiply it by the time it takes to fill the first aquarium (3 minutes) to find the time it will take to fill the second aquarium.
Let's perform the calculations:
Volume1 = 10 inches * 12 inches * 13 inches = 1,560 cubic inches
Volume2 = 22 inches * 30 inches * 33 inches = 21,780 cubic inches
Ratio = Volume2 / Volume1 = 21,780 cubic inches / 1,560 cubic inches ≈ 13.97
To find the time it will take to fill the larger aquarium:
Time2 = Time1 * Ratio = 3 minutes * 13.97
Calculating the final result:
Time2 = 3 minutes * 13.97 ≈ 41.91 minutes
Therefore, it will take approximately 41.91 minutes to fill the aquarium measuring 22 inches by 30 inches by 33 inches using the same hose that takes 3 minutes to fill the smaller aquarium.