3.5 Surface Area of a Rectangular Prism Mme DiMarco.

Slides:



Advertisements
Similar presentations
Surface Area Introduction and SA Formula for Rectangular Prisms
Advertisements

Surface Area.
Surface Area of Prisms.
Ms. Julien East Cobb Middle School (Adapted from Mr. Tauke’s PPT)
Surface Area: Prisms and Cylinders
Bell Work Find the surface area of each figure.
Surface Area: Prisms and Pyramids
Warm-up Find the area of the following: show calculations! 1.)2.) 3.) 4 inches 8 ft 12 cm 8ft 3 cm 3 inches.
Volume and Surface Area 7 th Grade More about Geometry Unit.
Volume of Rectangular Prisms
Surface Area of Rectangular Prisms 1.How many outside surfaces does a rectangular prism have? 2.What shape are each of the faces? The six rectangular sides.
Surface Area & Volume Prism & Cylinders.
The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.
Surface Area of Prisms Unit 5, Lesson 2. What is a Prism? Definition: –A three dimensional figure with 2 congruent polygon bases and rectangular sides.
Perimeter, Area, Surface Area, and Volume Examples
Surface Area of Prisms and Cylinders Lesson 9-8. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular.
Derive Formulas of Surface Area – Right Prisms and Right Cylinders.
Warm Up 1.) Find the area of the hexagon.
3D Figures What is a 3D figure? A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid.
Find the surface area o prisms and cylinders using nets.
P.O.D. #5 basic advanced 4 in 2 in Find the area of the figure above. Find the area of the trapezoid above. 7 cm 5 cm 3 cm A = ½  (b 1 + b 2 )  h =
Unit 10-Day 3 Rectangles: Objective: Finding the Perimeter & Area of a rectangle.
Take out HW from last night. Take out HW from last night. Text p. 379, #1-6 Text p. 379, #1-6 Copy HW in your planner. Copy HW in your planner. Text p.
Identify each of the following shapes. In geometry, what is a net? what is surface area? cube Triangular pyramid Right square pyramid Rectangular prism.
How much cardboard does it take to make a cereal box? Have you ever wondered?
Surface Area and Volume 7 th Grade Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.
10.9 Surface Area – I can find the surface areas of prisms, pyramids, and cylinders.
Surface Area of Prisms and Cylinders Retrieved from
0-9: Volume.
Bell Ringer Find the surface area of each figure. SA = 2lw + 2lh + 2wh SA = 2(4*2) + 2(4*3) + 2(2*3) SA = SA = 52 units² SA = Area of Base.
10-3 Example 1 What is the surface area of the rectangular prism?
Silently get started on the pink worksheet. Today’s Plan: -Warm-up -Surface Area LT: I will calculate the surface area of prisms. 04/19/11 Surface Area.
10.3 – Surface Areas of Prisms and Cylinders. Warm Up.
 Snap together cubes to create a solid rectangular figure.  How long is your figure?  How wide is your figure?  What is the height of your figure?
3.6 Volume of a Rectangular Prism Mme DiMarco.  Learning Goal: use a formula to calculate the volume of a rectangular prism Learning Goal.
Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.
Surface Area of Prisms and Cylinders. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular prism.
6.3 Area of a Trapezoid Mme DiMarco.  Learning Goal: use a formula to find the area of a trapezoid Learning Goal.
6.1 Area of a Parallelogram Mme DiMarco.  Learning Goal: using a formula to find the area of a parallelogram Learning Goal.
12.2 – Surface Area of Prisms And Cylinders. Polyhedron with two parallel, congruent bases Named after its base Prism:
Surface Area and Volume. Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as.
Formulas V=B*h or V= l*w*h (Prisms) V=1/3Bh or B*h/3 (Pyramids) SA=2lw + 2lh + 2wh (Prisms)
Surface Areas and Volumes of Prisms and Cylinders.
SURFACE AREA PRISMS AND CYLINDERS NET 2 NET 3 NET 4.
Entry Task 1. How many vertices, edges, and faces are in the polyhedron below? List them using the proper notation. 2. Use your answers to part 1 to verify.
Find the volume of the following prisms: Math 7 MIT Grace Wilday Junior High School “Raise the Praise”
Find the surface area of prisms and cylinders by using nets.
Area vs Surface Area.
Surface Area of Prisms and Cylinders
May look at figures in box to give you some ideas. Geometric Solid:
Surface Area: Rectangular & Triangular Prisms & Cylinders
Surface Area of Rectangular Prisms
Day 1 - Surface Area of Prisms
Surface Area of a Prism.
Surface Area 7th Grade Math Obj. 4c.
“Day A” March 24, :51 - 8:51 Math 8:53 - 9:53 Science
Surface Area of Prisms and Cylinders
February 23, Math 102 OBJECTIVE: Students will be able to determine the surface area of prisms and cylinders, using a calculator and a variety.
Measurement: Shape and Space
7.G.5 Surface Area of a prism
“Day D” April 7, 2016 LUNCH (2nd lunch) English Science Math
Surface Area of Rectangular Prisms and Cubes
Surface Area of Prisms and Cylinders
“Day F” March 29, :51 - 8:51 Exploratory 8:53 - 9:53
Surface Area of a Rectangular Prism
Surface Area of Prisms and Cylinders
– I can find the surface areas of prisms, pyramids, and cylinders
Surface Area.
Lesson 6 Surface of Prisms
Surface Area Rectangular Prisms Notes Page 46.
Presentation transcript:

3.5 Surface Area of a Rectangular Prism Mme DiMarco

Learning Goal: use a formula to calculate the surface area of a rectangular prism Learning Goal

Formulas: Rectangle: A = b x h P = 2 x (b + h) Square: A = c 2 P = 4c Remember! b h s s

 Flat representation of all the faces of a polyhedron  Each face is connected to at least one other by a common edge Net of a Polyhedron

Surface area = the sum of the areas of each individual rectangle (the total area of the net) Surface area of a rectangular prism 3cm 8cm 5cm Area = 8 x 5 Area = 8 x 3 Area = 8 x 5 Area= 8 x 3 Area = 5 x 3 8cm3cm 5cm 3cm 5cm Area = 5 x 3 3cm 5cm 3cm

Step 1: find the area for each individual face on the rectangular prism Step 2: add each area to find the total area We can do both of these steps in one equation… A t = 2(8 x 3) + 2(8 x 5) + 2(3 x 5) A t = 2(24) + 2(40) + 2(15) A t = A t = 158cm 2 Surface area of a rectangular prism

 You can write the equation  A variable represents each letter…  Length = l  Width = w  Height = h Formula for area of a rectangular prism Aire = L x l Aire = L x h Aire = L x l Aire = L x h Aire = l x h h L l wh l h h l A t = 2lh + 2lw + 2hw

 Page 99, questions 1 à 3 Homework