Geometry Chapter 12 - Surface Area and Volume of Solids Section 12.4 - Volume of Prisms and Cylinders What you should get out of thisâ€Ś 1. Learn and apply the formula for the volume of a prism 2. Learn and apply the formula for the volume of a cylinder Volume of a 3D figure is the sum of its non-overlapping unit cubes that fill the interior exactly. A 3 x 3 x 3 prism has a volume of 27 cubic units...
ItĘźs like multiplying the area of the base (B) times the height (h).
Example: Solve for the volumes of the following figures:
6 in. 8 in.
4.5 in. 10 in.
The volume of a cylinder is not unlike the volume of a prism. The difference is the area of the base... a circle. The volume of a cylinder is found by using the formula
Example: solve for the volume.
height: 22 inches circumference: 14Ď€ inches
height: 12 inches circumference: 64Ď€ inches
Example: solve for the volume. 4 ft 5 ft
2 ft 3 ft
Example: what is the height of a cylinder with a radius of 3 inches and a volume of 90 cubic inches. (Use 3.14 for Ď€.)
Example: find the volume. 50 in. .5 in.
Example: find the volume of the composite figure. radius of 2 cm
5 cm 5 cm
6 cm 10 cm
Assignment: p.822 #s 3-21 odd. Show work. Draw all pictures! Due next period.