2 DefinitionsA prism is a three-dimensional figure named for the shape of its bases. The two bases are congruent polygons. All of the other faces are parallelograms.
3 Every prism is named by its BASE. Triangular prismHeightBase
4 If all six faces of a rectangular prism are squares, it is a cube. Remember!
5 Definition of a Cylinder A cylinder is made up of two identical circular bases and one rectangle.
6 Definition of a Cylinder continued… The BASE of a cylinder is the circle at the top or at the bottom.HeightThe HEIGHT is the distance between the two circular bases.Base
7 How to Find VolumeVolume of all prisms and cylinders is found by multiplying the area of the base times the height.Step 1: Decide what shape the base is. (rectangle, triangle or circle)Step 2: Find the area of the base.Step 3: Multiply by height.
8 Find the volume of the rectangular prism Step 1: Determine what shape the base is:RectangleStep 2: Find the area of the base(8.5)(5) =Step 3: Multiply by the height:42.5(6) =42.56 in.255 in35 in.8.5 in.
9 Find the volume of the triangular prism Step 1: Determine what shape the base is: TriangleStep 2: Find the area of the base½ (12)(10) =Step 3: Multiply by the height:60(14)=14 ft6012 ftTo find the area of a triangle multiply ½(base)(height)840 ft 310 ft12 ft
10 Find the volume of the cylinder. Step 1: Determine what shape the base is: circleStep 2: Find the area of the basep (52) =Step 3: Multiply by the height:25 p(15)=15 in.25p375p in3Area of a circle is found by multiplying p by radius squared.Radius = 5 in!
11 Steps for finding Volume: Find the area of the base.Multiply by height.All units used are cubed (3)