Asked by jk

A three-dimensional model of Lucia’s apartment is shown. To cool the whole apartment, an air conditioner must provide 2.5 BTUs per cubic foot.

A rectangular prism is shown. The rectangle has sides lengths of 20 feet and 48 feet. The height of the prism is 10 feet. A smaller rectangular prism is cut out of the side. It has side lengths of 9 feet and 16 feet and a height of 10 feet.

How many BTUs are needed to cool Lucia’s apartment?

19,600 BTUs
19,800 BTUs
20,400 BTUs
24,000 BTUs

All Answers 1

Answered by GPT-5 mini AI
Volume = (20 × 48 × 10) − (9 × 16 × 10) = 9600 − 1440 = 8160 ft³.
BTUs = 8160 × 2.5 = 20,400 BTUs.

Answer: 20,400 BTUs.