Volume of Prisms & Cylinders

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Presentation transcript:

Volume of Prisms & Cylinders

Definitions A 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.

Every prism is named by its BASE. Triangular prism Height Base

If all six faces of a rectangular prism are squares, it is a cube. Remember!

Definition of a Cylinder A cylinder is made up of two identical circular bases and one rectangle.

Definition of a Cylinder continued… The BASE of a cylinder is the circle at the top or at the bottom. Height The HEIGHT is the distance between the two circular bases. Base

How to Find Volume Volume 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.

Find the volume of the rectangular prism Step 1: Determine what shape the base is: Rectangle Step 2: Find the area of the base (8.5)(5) = Step 3: Multiply by the height: 42.5(6) = 42.5 6 in. 255 in3 5 in. 8.5 in.

Find the volume of the triangular prism Step 1: Determine what shape the base is: Triangle Step 2: Find the area of the base ½ (12)(10) = Step 3: Multiply by the height: 60(14)= 14 ft 60 12 ft To find the area of a triangle multiply ½(base)(height) 840 ft 3 10 ft 12 ft

Find the volume of the cylinder. Step 1: Determine what shape the base is: circle Step 2: Find the area of the base p (52) = Step 3: Multiply by the height: 25 p(15)= 15 in. 25p 375p in3 Area of a circle is found by multiplying p by radius squared. Radius = 5 in!

Steps for finding Volume: Find the area of the base. Multiply by height. All units used are cubed (3)