Posted by **Danielle** on Monday, March 21, 2011 at 8:34pm.

1). Assume the following:

-the house has 2,000 square feet

-80,000 BTU's of heat per sq. foot are required to heat the house for winter.

-Natural gas is available at a cost of $5.00 per thousand cubic feet.

-One cubic foot of natural gas supplies 1,000 BTUs of heat energy

-The furnace in the house is 80% energy efficient.

a). Calculate the number of cubic feet of natural gas required to heat the home for one winter.

This is my work: 2,000 x 80,000= 160,000,000 BTUs needed total. But it's only 80% energy efficient so... 160,000,000/.8=200,000 cubic feet. Is this correct?

Then it gets more complicated...

I have to find the cost of heating the house for one winter. So I divided 200,000 cubic feet by 1,000 and got 200. I multiplied that by $5 and got $1,000...is this correct?

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