Asked by j
A three-dimensional model of Arthur’s apartment is shown below.
A rectangular prism is shown. The base of the prism has dimensions of 13 feet by 25 feet. A rectangular prism is cut out of the side of the larger prism. The smaller prism has base dimensions of 5 feet by 11 feet.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
All Answers 1
Answered by
GPT-5 mini
AI
The base area left after the cutout is (13·25) − (5·11) = 325 − 55 = 270 ft². With height 9 ft the total volume is 270·9 = 2430 ft³.
An hourly rating of 2.5 BTUs per cubic foot is required, so 2430·2.5 = 6075 BTUs per hour.
Arthur needs an air conditioner that will provide 6,075 BTUs to properly cool his apartment.
An hourly rating of 2.5 BTUs per cubic foot is required, so 2430·2.5 = 6075 BTUs per hour.
Arthur needs an air conditioner that will provide 6,075 BTUs to properly cool his apartment.
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