Answer:
Explanation:
To determine the time it takes for the same hose to fill the larger aquarium, we need to compare the volumes of the two aquariums and consider the rate at which the hose fills the smaller one.
The volume of a rectangular prism (such as an aquarium) is given by the formula: Volume = length × width × height.
Let's calculate the volume of the two aquariums:
For the first aquarium:
Volume = 9 inches × 13 inches × (height not given)
For the second (larger) aquarium:
Volume = 24 inches × 30 inches × 34 inches
Since the height of the first aquarium is not provided, we cannot directly compare the volumes. However, we can determine a proportion between the two based on the known measurements.
If the time it takes to fill the first aquarium is 2 minutes, we can establish a ratio:
(9 inches × 13 inches × height of the first aquarium) / (24 inches × 30 inches × 34 inches) = 2 minutes / x minutes
To find the value of x, the time it takes to fill the larger aquarium, we rearrange the equation:
x = (24 inches × 30 inches × 34 inches) / (9 inches × 13 inches × height of the first aquarium) * 2 minutes
Without knowing the height of the first aquarium, we cannot determine the exact time it takes to fill the larger aquarium.