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Surface area of prisms. Diagrams Not to scale To find the surface area of a prism, find the area of all the faces and add them together 10 cm 4 cm 3 cm SA = 2hl + 2wh + 2wl 2 (3)(10) + 2 (4)(3) + 2(4)(10) = 60 + 24 + 80 = 164 cm 2 1

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15 cm 6 cm The Curved Surface Area of a Cone Example Questions: Find the curved surface areas of the cones below. (to 1 dp) 1 2 4.8 cm 3.1 cm SA = rs+ r 2 SA= 3.14( 6)(15) + 3.14(6) 2 SA = 282.6+113.04 SA=395.64 cm 2 SA= 3.14(3.1)(4.8)+3.14(3.1) 2 SA =18.02+30.18 SA=48.19 Not to SCALE

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7.3 cm SA = 4 r 2 SA = 4(3.14)( 7.3) 2 SA = 669.32cm 2 Example Questions: Calculate the surface area of the sphere below. 1 SA = 4 r 2

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Questions: Calculate the radii of the spheres shown below. (to 1 dp) SA = 8.4 m 2 SA =4 r 2 8.4 = 4(3.14)r 2 8.4 = 12.56r 2 0.67 = r 2 0.82 = r 1 SA = 4 r 2

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Surface Area of a Cylinder A cylinder is a prism with a circular cross- section. r2r2 r2r2 Removing top and bottom Open out 2 r h Surface Area = 2 r 2 + 2 rh

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Surface Area of a Cylinder h A cylinder is a prism with a circular cross-section. 2r2r

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Surface Area of a Cylinder 8cm Surface area = 2 r 2 + 2 rh 3cm SA = 2(3.14)(3) 2 +2(3.14)(3)(8) SA = 56.52 + 150.72 SA = 207.24 c m2

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Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

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