How much cardboard in a cardboard box?

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Presentation transcript:

How much cardboard in a cardboard box? Surface Area of Rectangular Prisms How much cardboard in a cardboard box?

NETS of a CUBE https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Cube-Nets/

FINDING SURFACE AREA USING NETS MSG PAGE 276

Do you see all of the faces? 4 cm 7 cm 10 Do you see all of the faces? How many faces are there? Six

What is the name of this shape? 4 cm 7 cm 10 What is the name of this shape? Rectangular prism

4 cm 7 cm 10 Can you draw the net? 10 cm 4cm 7cm

LETS MAKE A TABLE Side Area Number of sides Total Area RED BLUE GREEN

What are the dimensions of this rectangle? 4 cm 7 cm 10 Do you see the RED face? What are the dimensions of this rectangle? 4 cm 10 cm

Do you see another face that is just like the RED face? 4 cm 7 cm 10 Do you see another face that is just like the RED face? Where is it located? Keep an eye on the next screen!

Yes, it’s on the back. 10cm 4 cm

40cm2 Now there are 2 rectangles that each have an area of 40 sq. cm

We should use a table to tabulate the various areas. 40cm2 Side Area Number of Sides Total Area RED 2 B C TOTAL 40cm2

What are the dimensions of this rectangle? 4 cm 7 cm 10 Do you see the BLUE face? What are the dimensions of this rectangle? 4 cm 7 cm

Do you see another face that is just like the BLUE face? 4 cm 7 cm 10 Do you see another face that is just like the BLUE face? Where is it located?

Yes, it’s on the left side. 7 cm 4 cm 4 cm 7 cm

28cm2 Now there are 2 rectangles that each have an area of 28 sq. cm.

We should use a table to tabulate the various areas. 28cm2 Side Area Number of Sides Total Area RED 2 BLUE C TOTAL 28cm2

Do you see the GREEN face? 4cm 7 cm 10cm Do you see the GREEN face? What are the dimensions of this rectangle? 7 cm 10 cm

Do you see another face that is just like the GREEN face? 4 cm 7 cm 10 Do you see another face that is just like the GREEN face? Where is it located?

Yes, it’s on the bottom. 10cm 7 cm 10cm 7 cm

70cm2 Now there are 2 rectangles that each have an area of 70 sq. cm.

We should use a table to tabulate the various areas. Side Area Number of Sides Total Area RED 2 BLUE GREEN TOTAL 70cm2 70cm2

Now we just need to add all the areas of the sides together. + 70cm2 28cm2 40cm2

The total Surface Area for this rectangular prism is 40 + 40 + 28 + 28 + 70 + 70 = 276cm2

We should use a table to tabulate the various areas. Side Area Number of Sides Total Area RED 2 BLUE GREEN TOTAL 6

MSG : SHOW WORK 277 PROBLEM 291

Side Area Number of sides Total Area Top/bottom left /right Front/back 2 2 2 6