Unit 8 Surface Area Volume Target 8 C

Target 8 C – Surface Area of Prisms l l A Prism is a

Target 8 C – Surface Area of Prisms l Surface Area – sum of

Target 8 C – Surface Area of Prisms l Find the surface area of

Target 8 C – Surface Area of Prisms l Surface area equals Lateral Area

Target 8 C – Surface Area of Prisms l l Find the surface area

l STOP HERE…Learn Cylinders in next lesson

Target 8 C – Surface Area of Prisms l l A Cylinder has two

10. 3 – Surface Area of Prisms and Cylinders l We can adapt the

10. 3 – Surface Area of Prisms and Cylinders l Find the surface area

10. 3 – Surface Area of Prisms and Cylinders l Practice – Use formulas

10. 3 – Surface Area of Prisms and Cylinders l Practice – P 30

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Unit 8 - Surface Area & Volume Target 8 C – Surface Area of Prisms

Target 8 C – Surface Area of Prisms l l A Prism is a polyhedron with 2 parallel, congruent bases joined by several rectangles. The other faces (rectangles that join the bases) are called lateral faces. Bases Lateral faces

Target 8 C – Surface Area of Prisms l Surface Area – sum of the areas of each of the surfaces of a solid l How much paint it will take to cover the surface of an object l How much cardboard it will take to make a box of a certain size

Target 8 C – Surface Area of Prisms l Find the surface area of the cube using a net. The area of one square is 11∙ 11 = 121 in 2. Since all 6 sides are the same the total surface area is 121∙ 6 = 726 in 2.

Target 8 C – Surface Area of Prisms l Surface area equals Lateral Area plus the area of the two Bases. lateral area equals perimeter of the base times the height

Target 8 C – Surface Area of Prisms l l Find the surface area using a formula. Remember: The bases are the triangles! 4 in 5 in 6 in perimeter of Base? = 5+6+5 = 16 10 in area of Base? = ½∙ 6∙ 4 = 12

l STOP HERE…Learn Cylinders in next lesson

Target 8 C – Surface Area of Prisms l l A Cylinder has two congruent circles as bases joined by a rolled up rectangle. Since it has 2 bases and a lateral area the surface area can be found just like a prism.

10. 3 – Surface Area of Prisms and Cylinders l We can adapt the surface area of a prism formula to help with cylinders. perimeter = 2πr area of Base = πr 2

10. 3 – Surface Area of Prisms and Cylinders l Find the surface area of the cylinder using a formula. 10 cm 15 cm

10. 3 – Surface Area of Prisms and Cylinders l Practice – Use formulas to find surface area of each solid. 5 in 6 in 3 in 2 in 3 in SA = 72 in 2 SA = 80π in 2

10. 3 – Surface Area of Prisms and Cylinders l Practice – P 30 & P 31