Question

A British Thermal Unit (BTU) is equal to the amount of energy used to raise the temperature of one pound of water 1°F. A house is shaped like a rectangular prism with a length, width, and height of 80 feet, 25 feet, and 8 feet, respectively. Approximately 60,000 BTUs are required to heat the house properly.

a. What is the density of the house in BTUs?

Answer 1

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Explanation:

To find the density of the house in BTUs, we need to find its volume in cubic feet. The volume of a rectangular prism is given by:

Volume = length x width x height

Substituting the given values, we get:

Volume = 80 ft x 25 ft x 8 ft

Volume = 16,000 cubic feet

Now, we can find the density by dividing the total BTUs required by the volume of the house:

Density = Total BTUs / Volume

Density = 60,000 BTUs / 16,000 cubic feet

Density ≈ 3.75 BTUs per cubic foot

Therefore, the density of the house in BTUs is approximately 3.75 BTUs per cubic foot.