Question

A hurricane causes flooding at a rate of 10² ft per hour. If a storage closet is 10 ¹ feet wide,10² feet long, and 10¹ feet high, how long until it fills with water?

Answer 1

It will take 100 hours for the storage closet to fill with water.

Step-by-step explanation:

To calculate how long it will take for the storage closet to fill with water, we need to determine the volume of the closet and divide it by the rate of flooding. The volume of the closet is found by multiplying its width, length, and height: 10^1 ft x 10^2 ft x 10^1 ft = 10^4 ft^3. The rate of flooding is given as 10^2 ft per hour. Therefore, the time it will take to fill the closet is:

10^4 ft^3 ÷ 10^2 ft/hour = 10^2 hours = 100 hours.