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Unit 8 - Surface Area & Volume

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

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Unit 8 - Surface Area & Volume

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

  2. Target 8C – Surface Area of Prisms • 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

  3. Target 8C – Surface Area of Prisms • 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

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

  5. Target 8C – Surface Area of Prisms • Find the surface area of the cube using a net. The area of one square is 11∙11 = 121 in2. Since all 6 sides are the same the total surface area is 121∙6 = 726 in2.

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

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

  8. STOP HERE…Learn Cylinders in next lesson

  9. Target 8C – Surface Area of Prisms • 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. 10.3 – Surface Area of Prisms and Cylinders • We can adapt the surface area of a prism formula to help with cylinders. perimeter = 2πr area of Base = πr2

  11. 10.3 – Surface Area of Prisms and Cylinders • Find the surface area of the cylinder using a formula. 10 cm 15 cm

  12. 10.3 – Surface Area of Prisms and Cylinders • Practice – Use formulas to find surface area of each solid. 5 in 6 in 3 in 2 in 3 in SA = 72 in2 SA = 80π in2

  13. 10.3 – Surface Area of Prisms and Cylinders • Practice – P30 & P31

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