Question

A hurricane caused flooding in a home at the rate of 102 ft per hour. If the home has a storage closet that is 10 feet wide, 10 feet long, and 10 feet high, how long will it take the storage closet to fill with water? Write your answer as a power of 10.

Answer 1

It will take approximately 9.8 hours for the storage closet to fill with water.

Step-by-step explanation:

To calculate the time it will take for the storage closet to fill with water, we need to find the volume of water that will enter the closet per hour. The storage closet has dimensions of 10 feet wide, 10 feet long, and 10 feet high, so its volume is 10 * 10 * 10 = 1000 cubic feet.

The rate of flooding is 102 ft per hour. To find the time it will take to fill the closet, divide the volume of the closet by the rate of flooding: 1000 ft^3 / 102 ft/hour = 9.8 hours.

Therefore, it will take approximately 9.8 hours (or 9 hours and 48 minutes) for the storage closet to fill with water.