Computing Volume of Three-Dimensional Solids (Part Two) Cube

in Aviation Mathematics

A cube is a solid with six square sides. [Figure 1-25] A cube is just a special type of rectangular solid. It has the same formula for volume as does the rectangular solid which is Volume = Length × Width × Height = L × W × H. Because all of the sides of a cube are equal, the volume formula for a cube can also be written as:

Volume = Side × Side × Side = S3

Example: A large, cube-shaped carton contains a shipment of smaller boxes inside of it. Each of the smaller boxes is 1 ft × 1 ft × 1 ft. The measurement of the large carton is 3 ft × 3 ft × 3 ft. How many of the smaller boxes are in the large carton? First, substitute the known values into the formula.

V = L × W × H
= 3 ft × 3 ft × 3 ft
= 27 cubic feet of volume in the large carton
 

Since each of the smaller boxes has a volume of 1 cubic foot, the large carton will hold 27 boxes.

Figure 1-25. Cube.

Figure 1-25. Cube.

ASA AMT PrepwareASA – AMT General, Airframe and Powerplant Prepware for 2017.  Get ready for your FAA AMT Knowledge Exams with the most trusted source in aviation training.   Includes the contents of the Computer Testing Supplement, with the same FAA legends, figures, and charts you’ll be issued at the testing center before you take your official test.

Previous post:

Next post: