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An exercise class had 18 people. If each person produced 1,900 BTUs of body heat during the class and the room is 28 ft × 32 ft × 12 ft, how many BTUs per cubic foot did they produce? (to the nearest hundredth)

Verified Answer :

Answer:  Number of BTU's per cubic foot is 3.18 BTUs/cubic ft.

Step-by-step explanation:

Since we have given that

Number of people = 18

BTU produced by each person = 1900

Total BTU produced by 18 persons is given by

\(18\times 1900\\\\=34200\)

Dimension of the room is given by

Length of room = 28 ft

Width of room = 32 ft

Height of room = 12 ft

So, Volume of room is given by

\(Volume=Length\times Breadth\times Height\\\\Volume=28\times 32\times 12\\\\Volume=10752\ ft^3\)

So, Number of BTU's per cubic foot is given by

\(\frac{BTU}{Volume}\\\\=\frac{34200}{10752}\\\\=3.18\ BTUs/ft^3\)

sarahbuzzelli64

Answer: C) 3.18 BTU/ft3

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