Question

You and your roommates have already decided to spend a week volunteering in the relief effort over the winter break, but in order to convince your roommates to write to Congress to demand action on climate change, you want to give them a sense of how much water fell. To do this, you calculate how many gallons of water would be in your dorm room if 52 inches of rain landed in this space. Assume that your dorm room is 228 ft^2 and know that 1 gallon = 231 in^3 and that 1 foot = 12 inches.

Answer 1

Gallons of water in the dorm room =7391 gallons

Step-by-step explanation:

Given:

Amount of rainfall = 52 inches

Area of the room = 228 ft^2

To determine:

The gallons of water in the room

Calculation:

Convert area of room from ft^2 to inches^2

1 foot = 12 inches

Therefore,
`1 ft^(2) = (12\  in)^(2) = 144\ in^(2)`

Area of room is:

`(228ft^(2)*144in^(2))/(1ft^(2) ) =32832in^(2)`

Volume of water in the room is:

`=Area\ of\ room * Amount\ of\ rainfall\\\\= 32832 in^(2) * 52\ in = 1707264\ in^(3)`

Convert from in^3 to gallons:

1 gallon = 231 in^3

Therefore:

`(1707264in^(3) * 1 gallon)/(231in^(3)) =7391 gallons`