Question

Kyle invited 20 people to his ice skating party. Each skater produced 2,100 BTUs of heat while skating for an hour. The ice arena is 100 feet long, 40 feet wide and 20 feet tall. To the nearest thousandth, how many BTUs per cubic foot were produced by the ice skaters?
A. .475 BTUs per cubic ft
B. .525 BTUs per cubic ft
C. .590 BTUs per cubic ft
D. .625 BTUs per cubic ft

Answer 1

The first thing we must do for this case is find the amount of BTU produced by the 20 people.
 We have then:
 $(20) * (2100) = 42000 BTU$
 Then, we must find the volume of The ice sand, which we can model as a rectangular prism:
 $V = (l) * (w) * (h)$
 Where,
 l: length
 w: width
 h: height
 Substituting values we have:
 $V = (100) * (40) * (20) V = 80000 ft ^ 3$
 Then, we look for the BTU rate per cubic foot.
 We have then:
 $Rate = (42000) / (80000) Rate = 0.525 BTU / ft ^ 3$
 Answer:
 B. .525 BTUs per cubic ft