A house with ceilings that are 2.4 meters high has five rectangular rooms with the following dimensions: 4 meters 3 5 meters; 4
meters 3 4 meters; 6 meters 3 4 meters; 6 meters 3 6 meters; and 6 meters 3 5.5 me-ters. Which of the following air conditioners will be adequate to cool this house: an 18,000-Btu unit that will cool 280 cubic meters; a 21,000-Btu unit that will cool 340 cubic meters; or a 24,000-Btu unit that will cool 400 cubic meters?
A 21,000-Btu unit that will cool 340 cubic meters;
Step-by-step explanation:
Calculating the volume of the five rooms, we have;
Room 1:
Volume = 2.4 *4*5
= 48 m³
Room 2:
Volume = 2.4*4*4
= 38.4 m³
Room 3:
Volume = 2.4*6*4
=57.6 m³
Room 4:
Volume = 2.4*6*6
=86.4 m³
Room 5:
Volume = 2.4*6*5.5
= 79.2 m³
Total volume of the room = 48 +38.4 + 57.6 + 86.4 + 79.2
= 309.6 m³
From the total volume obtained above, the air condition that will be adequate to cool the house is 21,000-Btu unit since the obtained volume(309.6 m³) is within the range of the specify volume (340 cubic meters).
