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Chapter 4 Measuring Prisms and Cylinders. 4.2 Creating Objects from Nets. 4.1 Exploring Nets. INVESTIGATE. You and your partner will receive one 3D shape. Name each face of the object Trace each face Connect the faces that you drew Can you cut your drawing out and fold to make that
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Chapter 4 Measuring Prisms and Cylinders
4.2 Creating Objects from Nets 4.1 Exploring Nets
INVESTIGATE You and your partner will receive one 3D shape. Name each face of the object Trace each face Connect the faces that you drew Can you cut your drawing out and fold to make that same 3d shape you were given?
What goes where?!?!?!? Net Polyhedron Polyhedron Net
two faces meet _____ vertex edge three or more edges meet at a ________ vertex
What shape would this create? Example 1. What shape will this net make?
Example 5. What shape will this net make? icosahedron
Example 6. What does it mean by “right”?
Example 7. Draw the following net of this rectangular prism!
Example 8. Predict what shape this will make? **We name our shapes depending on our base shape
Practice Pages 174 - 176 4a* 6* 8* 9 10 11 Pages 180 - 182 #5a* 7 9 10*
Section 4.3 Surface Area of A Right Rectangular Prism
What is area?... What about surface area? With the person next to you, create a Rectangular prism from 10 or less blocks. 1. Determine the surface area in as many different ways as you can think of. RECORD each way. 2. Can you come up with a definition of surface area? INVESTIGATE
Let us create a box Surface Area: Is the addition of ALL AREAS of the panels on our box!
Calculate the total surface area! Example 1. Reminder! Tip of the day: BE ORGANIZED!!!
Calculate the total surface area! Example 2. *Look for similar faces
Example 3. Calculate the total surface area!
Example 4. Find the surface area of this cube 3cm **Use what we know about cubes to make your life easier
Practice Pages 186-187 4* 5* 6b*c*7b 9 11 13
Section 4.4 Surface Area of a Right Triangular Prism
INVESTIGATE With your partner… Determine the area of the rectangle shown Using the full sides of the rectangle, create a triangle. What would the area of this triangle be? Create your own formula for finding the are of a triangle What is half the area?
Area of rectangles = Area of a triangle = **Pay close attention to which height we are using
Example 1. Calculate the total surface area 5 Reminder**Be Organized!
Example 2. Find the surface area *What shapes are included?
Ms. A needs to build a wedge for his door so that he can keep it shut so students can't get out Example 4. Calculate the surface area
Practice Pages 191 - 193 4* 7a(i)* 9a*c 13
With your partner…. You will receive the shapes that you need to make a cylinder Cut these shapes out and make a cylinder Using what you already know about circles and area, see if you can find the surface area of your shape. INVESTIGATE Hint***What is the distance around the circle? How could this help us
How would we find surface area? Radius Area? Radius Area? Area?
πd 2πr How does this relate to length of the curved surface?
The distance all the way around the circle is called the circumference...this is the same as the width of our curved lateral surface! Those lines are the same distance!
Circumference = radius We use this to find the area of our curved lateral surface.... h A = l x w
Example 1. With your partner, calculate the surface area
Example 2. Calculate Surface Area
Example 3. We are wrapping presents and we want to use the least amount of wrapping paper possible. Should we choose... a) Box with dimensions of 8cm by 3cm by 7cm b) Cylinder Tube with a radius of 3cm and a height of 6 cm
Practice Pages 212-14: 4a, 6b, 8b, 9, 13, 16
QUIZ REVIEW!!! 4.1 - 4.4 & 4.7 NETS AND SURFACE AREA
Name these 4 nets.... Speed Round!!!