Question

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?

Answer 1

A 21,000-Btu unit that will cool 340 cubic meters;

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).