A mountain cabin has a single room with dimensions $22 ^ { \prime } \times 11 ^ { \prime } \times 7 ^ { \prime }$ . What is the total volume of air in the room that will be circulated throughout the central ventilating fan? A) 946 ft ³ B) 1,936 ft ³ C) 3,388 ft ³ D) 160 ft ³ E) 1,694 ft ³

Question

Quizplus · Accepted Answer

To find the volume of air in the room, we need to multiply the length, width, and height together. Converting feet to inches, we have:

22 ft = 264 in 
11 ft = 132 in 
7 ft = 84 in

Volume = 264 in * 132 in * 84 in = 3,388,416 cubic inches

Now, we need to convert cubic inches to cubic feet. There are 12 inches in a foot, so there are 12^3 = 1728 cubic inches in a cubic foot.

Volume = 3,388,416 cubic inches / 1728 cubic inches per cubic foot = 1964 cubic feet

Therefore, the total volume of air in the room is 1964 cubic feet, which is closest to answer choice E, 1,694 ft³.

A Mountain Cabin Has a Single Room with Dimensions 22′×11′×7′22 ^ { \prime } \times 11 ^ { \prime } \times 7 ^ { \prime }22′×11′×7′

A Mountain Cabin Has a Single Room with Dimensions $22 ^ { \prime } \times 11 ^ { \prime } \times 7 ^ { \prime }$