Friday, March 16 th 1.Solve for x 2. Find the Surface Area and volume

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3-D Shape Candy Toss

Question What are two 3-D shapes that have 6 FACES

Answer Cube Rectangular prism

Question Is a cylinder a polyhedron?

Answer NO

Question Is a triangular prism a polyhedron?

Answer YES

Question Is a Cone a polyhedron?

Answer NO

Question Is a pyramid a polyhedron?

Answer YES

Question How many faces ?

Answer 5

Question What is the top view of a square pyramid?

Answer

Question How many vertices?

Answer 4

FORMULA SHEET v=Bh Rectangular Prism: Triangular Prism:

Homework Answers

Goal for today Volume and Surface Area CYLINDERS

How would you describe: Net Of a Cylinder?

Circle Review

A line segment with one endpoint at the center of the circle and the other endpoint on the circle is a radius (plural: radii). It is half the diameter Center Radius

A diameter is a line segment that passes through the center of the circle and has both endpoints on the circle. The length of the diameter is twice the length of the radius. Center Radius Diameter

The distance around a circle is called the circumference. Center Radius Diameter Circumference

The formula for the circumference of a circle is C = d, or C = 2r.

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Part 1: Surface Area 1. Using a Net 2. Using a Formula

Nets for Cylinder Cylinders- the net for a cylinder is made of two congruent circles, and one rectangle. The circumference of the circle is the length of the rectangle

Area of Circle: πr ² 3 x 5² 3 x circles: 75 x 2 = 150 Area of Rectangle: L x W Length= circumference Length= 2πr Length= 2 x 3 x 5 Length = 6 x 5 Length = 30 Area =30 x 10 Area = Areas= =750

WE’LL GIVE YOU THE FORMULAS FOR ALL THREE SHAPES!!!!

Answer: 84

Answer: 29.8

SURFACE AREA WITH FORMULAS

SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

Part 2: Volume

To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r 2, so the formula is V = Bh = r 2 h.

Write the formula. Replace  with 3, r with 4, and h with 7. Multiply. V 336 V = r 2 h V  3  42  7V  3  42  7 The volume is about 336 ft 3.

10 cm ÷ 2 = 5 cmFind the radius.Write the formula. Replace  with 3, r with 5, and h with 11. Multiply. V  825 V = r 2 h V  3  5 2  11 The volume is about 825 cm 3.

Multiply. V  540 The volume is about 540 ft 3. 6 ft 5 ft Write the formula. Replace  with 3, r with 6, and h with 5. V = r 2 h V  3  62  5V  3  62  5

Multiply. V  cm ÷ 2 = 4 cm The volume is about 288 cm 3. Find the radius. 8 cm 6 cm Write the formula. Replace  with 3, r with 4, and h with 16. V = r 2 h V  3  42  6V  3  42  6

3-2-1 Summary 3 things you learned 2 things you still need practice on 1 Which way do you like finding surface area: net or formula