1. Finding Surface Area I’m getting better at math!
I love finding surface area!
Finding Surface Area
I wish I could do this EVERY day!
I love all shapes!

2. Surface area is the sum of the areas of all surfaces of a figure.
Lateral Face
Lateral Surface

3. Formulas Cylinder: SA = 2pr2 + 2prh
Rectangular Prism: SA = 2lh + 2lw + 2wh
Cylinder: SA = 2pr2 + 2prh
Triangular Prism: SA = 2B + Ph

4. SA = 2pr2 + 2prh = 2p(152) + 2p(15)(3) = 2π(225) + 2π(45) = 450π + 90π
Find the surface area of this figure.
SA = 2pr2 + 2prh
15 cm
3 cm
= 2p(152) + 2p(15)(3)
= 2π(225) + 2π(45)
= 450π + 90π
= 540 π
cm2

5. SA = 2pr2 + 2prh = 2p(72) + 2p(7)(12) = 2π(49) + 2π(84) = 98π + 168π
Find the surface area of this figure.
SA = 2pr2 + 2prh
7 cm
= 2p(72) + 2p(7)(12)
= 2π(49) + 2π(84)
= 98π + 168π
= 266 π
12 cm
cm2

6. 8 cm 6 cm 5 cm Find the surface area of this figure.
SA = 2lh + 2lw + 2wh
6 cm
5 cm
SA = 2(8 ∙ 6) + 2(8 ∙ 5) + 2(6 ∙ 5)
SA = 2(48) + 2(40) + 2(30)
SA =
SA = 236 cm2

7. SA = 2B + Ph = 2 (1/2bh) + Ph = 2(1/2)(8)(6) + 18(7) = 48 + 126
Find the surface area of this figure.
SA = 2B + Ph
= 2 (1/2bh) + Ph
= 2(1/2)(8)(6) + 18(7) =
= 174 in2
5 in
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