1. Do Now
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Below are nets for 3D shapes. Identify the shape and find the area of the net
6cm
7 ft
10 ft

2. Objectives
To use nets of 3D figures to calculate total surface area and lateral surface area
Benchmarks: B and C.3.4.1

3. Agenda Finish building 3D solids from nets
Measure the pertinent parts of each solid
Calculate the total surface area and lateral surface area of each solid
Practice calculating surface area of prisms and pyramids

4. Definitions Surface area – sum of the areas of all the faces
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Surface area – sum of the areas of all the faces
Lateral surface area – sum of the areas of all the lateral faces
Height – altitude of the solid
Slant Height – the altitude of the lateral face

5. Finding Surface Area Draw and label the net of the solid
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Draw and label the net of the solid
Find the area of each face
Sum all the areas

6. Surface Area of a Prism
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Use the net to find the lateral surface area and the total surface area of the prism below 4 12 3
5 cm 4 3 4 3 5 20 15 20 15
3 cm 3 12
4 cm 4
Lateral Surface Area = = 70 cm2
Total Surface Area = = 94 cm2

7. Surface Area of Pyramids
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Use the net below to find the lateral surface area and total surface area of the square pyramid 10 11
11 in
10 in
Lateral Surface Area = ½ (10)(11) x 4= 220 in2
Total Surface Area = = 320 in2

8. Finding Surface Area Draw and label the net of the solid
Find the area of each face
Sum all the areas

9. Next Time
Surface Area of “the Others”
Volume

10. Questions? Comments?