Find the lateral area and the surface area of each figure. Round to the nearest tenth, if necessary.

1. a cube with edge length 10 cm

2. a regular hexagonal prism with height 15 in. and base

edge length 8 in.

3. a right cylinder with base area 144 cm2 and a height

that is the radius

L = 400 cm2 ; S = 600 cm2

L = 720 in2; S 1052.6 in2

L 301.6 cm2; S = 1206.4 cm2

GT Geometry 5/1/13 Drill 4.10• Put hw and a pen on the corner of your desk.

4. A cube has edge length 12 cm. If the edge

length of the cube is doubled, what happens to the surface

area?

5. Find the surface area of the composite figure.The surface area is multiplied by 4.

S = 3752 m2

OBJECTIVETo define and find the

lateral area, surface area, and volume of a regular pyramid

and a cone

vocabulary • base - polygon• lateral faces - triangles• vertex - point where lateral

faces meet• altitude - segment from the

vertex perpendicular to the plane of the base

vocabulary • pyramid - a polyhedron which

consists of one base and lateral faces which are triangles

• regular pyramid - base is a regular polygon

vocabulary • right pyramid - the altitude

intersects the base at its center• oblique pyramid - the altitude

intersects the base at a point other then the center

vocabulary • slant height of a pyramid - the

length of an altitude of a lateral face.

Naming a Pyramid•Pyramids are named

according to the shape of their bases

BASE

Lateral Edge

Slant Height

Height of the object

formula The lateral area LA of a right

regular pyramid with slant height l and perimeter of a base p is

L = 1/2 l p or

LA = 1/2 l p

formula The surface area SA of a right

regular pyramid is

SA= LA + B or

S = LA + B

formula The volume V of a right regular

pyramid is

V=

B = area of the base

H = height or altitude of the object

BH3

1

How do you find the lateral area of a cone?

LA = plperimeter • slant

height

1

2

How do you find the lateral area of a cone?

How do we find the

perimeter of a circle?

How do you find the lateral area of a cone?

How do we find the perimeter of a circle?

2πr or dπ

How do you find the lateral area of a cone?

LA = 2πrlperimeter • height

1

2

How do you find the lateral area of a cone?

LA = πrlperimeter •

height

Finding the Surface Area of a cone

SA= LA + B

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Finding the Volume of a cone and pyramid

V = ?BH

Classwork( exact)Find LA,SA, V coneradius = 5 cmheight= 12 cm

Classwork (exact)Find LA, SA & V coneradius = 3 cmslant height = 6 cm

CLASSWORK • find lateral and surface

areas• right regular hexagonal

pyramid •base edge = 4cm• slant height = 5cm

CLASSWORK • find lateral and surface

areas• right regular triangular

pyramid •base edge = 6cm•height = 37 cm

CLASSWORK •Find LA & SA• rectangular pyramid •base edges =

12cm, 9cm•height = 12 cm

Classwork/Homework•P 694 #13-22•P709 #2-12