Mr. De Leon's Geometry class has 34 students. After lunch everyone returns to the classroom. Within an hour, each person produces 800 BTUs. The room is 25 feet by 32 feet by 12 feet. How many BTUs per cubic foot were produced?

Question

Mathematics

Barrett Coleman

12 July, 00:19

Mr. De Leon's Geometry class has 34 students. After lunch everyone returns to the classroom. Within an hour, each person produces 800 BTUs. The room is 25 feet by 32 feet by 12 feet. How many BTUs per cubic foot were produced?

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Answers (1)

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Sydney · Answer 1

2.83 BTUs / cubic feet were produced

Step-by-step explanation:

Here, we are interested in calculating the BTU produced by cubic foot.

Firstly, we need to calculate the volume of the room. This can be obtained by multiplying L * B * H where L, B and H represents the length, breadth and height respectively.

Thus mathematically, the volume of the room will be 25 * 32 * 12 = 9,600 ft^3

Now in the class also, we have 34 students in the room with each student producing 800 BTUs. The total amount of BTUs produced by the students will be 34 * 800 =

27,200 BTUs

The amount of BTUs thus produced by cubic feet will be 27,200 BTUs / 9,600 ft^3 = 2.83 BTUs / ft^3