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 Ă— 32 ft Ă— 12 ft, how many BTUs per cubic foot did they produce? (to the nearest hundredth)

Respuesta :

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

[tex]18\times 1900\\\\=34200[/tex]

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

[tex]Volume=Length\times Breadth\times Height\\\\Volume=28\times 32\times 12\\\\Volume=10752\ ft^3[/tex]

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

[tex]\frac{BTU}{Volume}\\\\=\frac{34200}{10752}\\\\=3.18\ BTUs/ft^3[/tex]

Answer: C) 3.18 BTU/ft3