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Today’s Lesson:
What: Surface area of prisms and
cylinders
Why: To calculate the surface area of both rectangular prisms and cylinders.
Surface Area— the sum of the areas of each ____________ that make up a solid 3-D figure.
Key words for surface area:
face
lengthwidth height SA= 2lw + 2lh + 2wh
Top/Bottom Right/LeftFront/Back
Net version of rectangular
prism
TOP
BOTTOM
RIG
HT
LEFT
FRONT
BACK
Rectangular PRISMS:
1)
2)
12 cm
5 cm
4 cm
3.5 cm
14 c
m
2 cm
SA = 256 cm²
SA = 168 cm²
Top/BottomSA= 2𝝿r² + 2𝝿rh
Curved Surfaceheight
radius
Net version of cylinder
CYLINDERS:
1)
2)
15 cm
4 cm
4.5 cm
2.5 cm
SA ≈ 213.5 cm²
SA = 109.9 cm²
Surface area word problems:
1)Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required?
SA = 192 in²
Surface area word problems:
2) Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need?
SA ≈ 61.2 ft²
END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class
and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)
represent the homework assigned for that day.
Rectangular Prism NetDirections: Cut flattened shape out. DO NOT cut along the inside lines. Once cut out, fold along the inside lines to make a rectangular prism (or box).
Cylinder NetDirections: Cut flattened shape out. DO NOT separate the top and bottom circles from the rectangle. In other words, you should end up with ONE CUT-OUT shape– NOT three separate ones!! See if you can form a cylinder!
13 cm.
13 cm
6 cm
6 cm
2.5 cm
2.5 cm
Surface Area— the sum of the Areas of each ____________ that make up a solid 3-D figure.
Rectangular PRISMS:
1) 2)
Math-7 NOTES DATE: ______/_______/_______What: surface area of prisms and cylinders
Why: To calculate the Volume of both rectangular prisms and cylinders.NAME:
length
width height Net version of
rectangular prism
12 cm
5 cm4 cm
3.5 cm
14 c
m
2 cm
Key words for surface area:
SA= 2lw + 2lh + 2wh
Top/Bottom Right/LeftFront/Back
CYLINDERS:
1) 2)
Top/BottomSA= 2𝝿r² + 2𝝿rh
Curved Surfaceheight
radius
Net version of cylinder
Surface area word problems:
1) Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required?
2) Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need?
15 cm
4 cm
4.5 cm
2.5 cm
1. 2. 3.
4. 5. 6.
7.Suzanne has a jewelry box she wants to cover with wallpaper to match her room. Her box is 12 cm long, 6 cm wide, and 5 cm high. How much paper will she need to cover the box?
8. What is the surface area of a cardboard carton if it is 14 inches wide, 10 inches tall, and 16 inches long?
9. Mark had an old trunk he wants to use in his living room. He plans to use some upholstery fabric to make it look new. How much fabric will he need to cover it if it is 4 ft. long, 2 ft wide, and 2.5 ft tall?
DATE: _____/______/_____ NAME:___________________Math-7 Practice
“surface area of prisms and Cylinders”Prisms:
1. 2. 3.
4. 5. 6.
7. Lynn made a kaleidoscope that she wants to cover in metallic wrapping paper. The structure is 9 inches tall and has a radius of 1.5 inches. About how much metallic paper will she need?
8. Louise has a large cylindrical container that she wants to paint. It is 4 ft. tall and 2 ft. in diameter. What is the surface area she will need to paint?
9. Mr. Butterworth baked a cake in the shape of a cylinder. The cake had a diameter of 9 in. and a height of 5 in. He spread chocolate icing over the entire cake (except the bottom). How many square inches of icing did he use?
cylinders:
