Question

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)
A) 0.18 BTUs/ft3
B) 2.12 BTUs/ft3
C) 3.18 BTUs/ft3
D) 38.17 BTUs/ft3

Answer 1

Answer:

Option C -  $3.18\ BTUs/ft^3$

Step-by-step explanation:

Given : 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.

To find : How many BTUs per cubic foot did they produce?

Solution :  

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

$\text{Volume}=\text{Length}\times \text{Breadth}\times \text{Height}$

$V=28\times 32\times 12$

$V=10752\ ft^3$

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

$n=\frac{BTU}{V}$

$n=\frac{34200}{10752}$

$n=3.18\ BTUs/ft^3$

Therefore, Option C is correct.

3.18 BTUs per cubic foot did they produce.

Answer 2

(18*1900)/(28*32*12)

34200/10752

≈3.18 BTU/ft^3

So C) is the correct answer.