Fifty students exercised in the school gymnasium, each produced about 320 BTUs (British
Thermal Units) of heat. The gymnasium is 100 feet long, 80 feet wide, and 20 feet high.
How many BTUs per cubic foot did the students produce?

Each student produced 0.1 BTU per cubic foot

Step-by-step explanation:

To find how many BTUs per cubic foot, find the total of the BTUs of the fifty students and the volume of the gymnasium, then divide the total of the BTUs by the volume of the gymnasium

∵ Each student produced about 320 BTUs of heat

∵ Fifty students exercised in the school gymnasium

- Multiply 320 by 50 to find the total BTUs of heat

∴ The total BTUs of heat = 320 × 50 = 16,000

The formula of the volume of a rectangular solid is V = l × w × h

∵ The school gymnasium is shaped a rectangular solid

∵ It is 100 feet long, 80 feet wide, and 20 feet high

∴ l = 100 , w = 80 , h = 20

- Substitute them in the formula of the volume above

∴ V = 100 × 80 × 20 = 160,000 feet³

Now divide the total BTUs by the volume of the gymnasium

∵ BTUs per cubic foot  = 16,000 ÷ 160,000

∴ BTUs per cubic foot = 0.1

∴ Each student produced 0.1 BTU per cubic foot

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step-by-step explanation: