+

Pyramids and Prisms

+Solid

■ An object with 3 Dimensions

■ Height, Width, Length

+3-D Triangular Shapes

■ Pyramid

■ Triangular Prism

+Pyramid• A pyramid is made by connecting a base to an apex• A pyramid is named after the shape of its base

+Pyramid■ Surface Area

SA= Base Area + (1/2) Perimeter x Slant height

Base Area= Area of the shape that is the base

Perimeter= Perimeter of the Base

Slant Height= height of one of the faces

+Surface Area

+Find the Surface Area

+Practice

■ Work on the following hand out!

+Pyramid■ Volume

V= (1/3) (Base Area) (Height)

Base Area= Area of the shape that is the base

Height = Length from the base to apex

+Volume

+Find the Volume

+Practice

■ Work on the following hand out!

+Triangular Prism• A prism composed of two triangular bases and three

rectangular sides

+Triangular Prism■ Surface Area for Triangular Prism

SA= 2( Area of Triangular Base)+ Area of Rectangle + Area of Rectangle +Area of Rectangle

Area of Triangular Base= (1/2)(Base) (Height)

+Surface Area

+Find the Surface Area

+Practice

■ Work on the following hand out!

+Triangular Prism■ Volume

V= (Base Area) (Length)

Base Area= Area of the triangular base

Length= Length of the rectangle

+Volume

V= ½ BH x LV= ½ (9) (12)(18)V= 1944/2V= 972 cm3

+Find the Volume

+Practice

■ Work on the following hand out!