Download presentation

Presentation is loading. Please wait.

1
Prisms and Cylinders

2
Vocabulary… Lateral Faces Bases Base Edges Lateral edges Vertices Lateral Area Total Surface Area Volume

3
**A prism is named using the name of the base.**

4
**r2 P P = C = 2πr B h L P x h T L + 2B V B x h Prism Cylinder**

(perimeter of the base) add the sides of polygon P = C = 2πr B (area of base) Area formula for polygon r2 h (height of the solid) Measured from vertex ┴ the middle of the base L (lateral area) P x h T (total surface area) L + 2B V (volume) B x h

5
**P = ____ B = ____ h = ____ L = ____ T = ____ V = ____**

6
**P = ____ B = ____ h = ____ L = ____ T = ____ V = ____**

7
**P = ____ B = ____ h = ____ L = ____ T = ____ V = ____**

8
**P = ____ B = ____ h = ____ L = ____ T = ____ V = ____**

9
Cube with edge 8 cm. B = ____ T = ____ V = ____

10
**A right triangular prism has lateral area 120 cm2**

A right triangular prism has lateral area 120 cm2. If the base edges are 4 cm., 5 cm., and 6 cm. long, find the height of the prism.

11
**A cube has a volume of 343 in.3. What is the total surface area of the cube?**

12
**A cylinder has a total surface area of 27π in. 2 and radius 3 inches**

A cylinder has a total surface area of 27π in.2 and radius 3 inches. What is the volume of the cylinder?

13
Homework Worksheet

14
**Warm Up: Find the following**

B = _____ L = _____ T = _____ V = _____ 2) P = _____ B = _____ L = _____ T = _____ V = _____

15
Pyramids and Cones Surface Area

16
Vocabulary… Lateral Faces Base Base Edges Lateral edges Height Slant height Apothem of the base Lateral Area Total Surface Area

18
**Relationships in the pyramid…**

Sits OUTSIDE the Pyramid or Cone Sits INSIDE the Pyramid or Cone

19
**L + B 1/3 B x h l ½ Pl V Pyramid Cone (slant height of face) L**

(perimeter of the base) add the sides of polygon P = C = 2πr B (area of base) Area formula for polygon or circle h (height of the solid) Measured from vertex to the middle of the base (use Pythagorean theorem if not given) l (slant height of face) Measure from the vertex to the midpoint of the base edge (use Pythagorean theorem if not given) L (lateral area) ½ Pl T (total surface area) L + B V (Volume) 1/3 B x h

20
**P = ____ B = ____ h = ____ l = _____ L = ____ T = ____**

V = ____

21
**P = ____ B = ____ h = ____ l = _____ L = ____ T = ____**

V = ____

22
**P = ____ B = ____ h = ____ l = _____ L = ____ T = ____**

V = ____

23
Find the height of a triangular pyramid with a base area of 130 square meters and a volume of 650 cubic meters.

24
**The total surface area of a cone is 27 in2. The radius is 3 in**

The total surface area of a cone is 27 in2. The radius is 3 in. What is the slant height?

25
HOMEWORK

26
WARM UP

27
**Volume & Surface Area of SPHERES**

28
SPHERE: The set of all points in space equidistant from a given point called the center. We use the radius of the great circle to find the surface area and volume.

29
**FORMULAS V= 4 3 𝜋 𝑟 3 SA =4𝜋 𝑟 2 VOLUME SURFACE AREA Example) Example)**

Be careful and note if you’re given diameter or radius! FORMULAS VOLUME SURFACE AREA V= 4 3 𝜋 𝑟 3 Example) Radius = V = SA =4𝜋 𝑟 2 Example) Radius = SA =

30
Example 2 Find the volume and surface area of a sphere with radius = 6 m

31
Example 3 Find the volume and surface area of a sphere with diameter = 8.4 in

32
Example 4 Earth’s equator is about 24, 902 miles long. What is the approximate surface area of the Earth? (Earth’s Equator is a great circle that divides the Earth into two hemispheres)

33
Example 5 The volume of a sphere is 𝑚 3 . What is the surface area rounded to the nearest square meter?

34
Example 6 Find the volume of half of a grapefruit that has a circumference of 14 cm

35
Homework

Similar presentations

Presentation is loading. Please wait....

OK

Lesson 12-x, 13-y 3D Figures Review.

Lesson 12-x, 13-y 3D Figures Review.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power grid failure drill Download ppt on threaded binary tree Ppt on email and search engines Ppt on child growth and development Production and cost in the long run ppt on tv Ppt on general electricity from waste materials Ppt on world environment day posters Ppt on diode characteristics Ppt on conservation of momentum definition Ppt on standing order forms