Question

A tub is shaped like a rectangular solid, with internal measurements of 2 feet x 2 feet x 5 feet. If two faucets, each with an output of 2 cubic feet of water per minute, pour water into the tub simultaneously, how many minutes does it take to fill the tub completely?

Answer 1

It takes 5 minutes to fill the tub completely.

Step-by-step explanation:

To find the time it takes to fill the tub, we need to calculate the volume of water that the faucets can output per minute, and then divide the volume of the tub by the volume of water output per minute.

Each faucet has an output of 2 cubic feet per minute, so together they have an output of 4 cubic feet per minute. The volume of the tub is 2 ft x 2 ft x 5 ft = 20 cubic feet.

Dividing the volume of the tub by the volume of water output per minute, we get 20 cubic feet / 4 cubic feet per minute = 5 minutes. So it takes 5 minutes to fill the tub completely.

Answer 2

`V=whl`

`V=2*2*5`

`V=20`

Therefore, given the rate of 2 cubic feet per minute, it would only take 10 minutes to fill the rectangular prism with a volume of 20 cubic feet.