Page:An introduction to linear drawing.djvu/102

 ﻿SECTION III.

OF VOLUME.

Problem I. To find the volume of a prism or cylinder.

Rule. Multiply the base by the height, and the product will be the number of cubes (that is, solid squares) contained in the body.

Note. The length, breadth, and height, must always be expressed in the same sort of measure, whether it be yards, feet, or inches; if they are not so expressed in the proposition, they must be reduced before any thing else is done.

Example 1. A wall is 2,8 yards high ; 0,6 thick ; and 104,5 yards long ; how many cubick feet does it contain ?

2,8 multiplied by 0,6—gives 1,68 square yds. 1,68 multiplied by 104,5—gives 175,560 square yds.

2. A pile of wood in the form of a parallelopiped, is 54,8 feet long ; 22,3 feet wide ; and/ 37,1 feet in height ; how many cubick feet does it contain ?

Multiply these three numbers together, and the an- swer will be 45337,684 cubick feet.

8. A cylindrical caldron is 8,3 feet deep, and 13 feet wide ; what is its capacity (that is, how many cu- bick feet will it contain ?)

The width or diameter is 13, the radius must be 6,5. Multiply 6,5 by 6,5 and the product by 3} (Sect. II. Prob. 6,) and you have the superficies of the base, which multiply by the height 8,3 and you have the capacity required. Ans. 1102,124 cubick feet.