It takes a hose 3 minutes to fill a rectangular aquarium 8 inches long, 11 inches wide, and 12 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 29 inches by 30 inches?
(21*29*30)/(8*11*12) * 3 = 9135/176 ≈ 52 minutes
It takes a hose 3 minutes to fill a rectangular aquarium 9 inches long, 12 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 25 inches by 30 inches by 32 inches?
To find out how long it will take the hose to fill the second aquarium, we need to calculate the volume of both aquariums and compare them.
Step 1: Calculate the volume of the first aquarium.
The volume of a rectangular prism (aquarium) can be calculated by multiplying its length, width, and height.
Volume of the first aquarium = 8 inches * 11 inches * 12 inches
Step 2: Calculate the volume of the second aquarium.
Using the same formula, we can calculate the volume of the second aquarium.
Volume of the second aquarium = 21 inches * 29 inches * 30 inches
Step 3: Compare the volumes of the two aquariums.
Now that we have the volume of both aquariums, we can compare them.
Volume of the first aquarium: 8 * 11 * 12 = 1056 cubic inches
Volume of the second aquarium: 21 * 29 * 30 = 18,270 cubic inches
Step 4: Calculate the time it takes to fill the second aquarium.
Since we know it takes 3 minutes to fill the first aquarium, we can calculate the time it takes to fill the second aquarium using the following formula:
(Time to fill the second aquarium) = (Volume of the second aquarium) / (Volume of the first aquarium) * (Time to fill the first aquarium)
Plugging the numbers into the formula:
(Time to fill the second aquarium) = 18,270 / 1056 * 3
Simplifying the calculation:
(Time to fill the second aquarium) ≈ 187.5 minutes
Therefore, it will take approximately 187.5 minutes for the same hose to fill an aquarium measuring 21 inches by 29 inches by 30 inches.