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Turn in Geometry EOC Review Worksheet!

Turn in Geometry EOC Review Worksheet!. 11.2,11.4: Surface Area & Volume of Prisms. 3-D Figures. L ateral A rea : the sum of the areas of the lateral faces S urface A rea (or total area) : sum of the lateral area and the area of the bases

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Turn in Geometry EOC Review Worksheet!

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  1. Turn in Geometry EOC Review Worksheet!

  2. 11.2,11.4: Surface Area & Volume of Prisms

  3. 3-D Figures

  4. Lateral Area:thesum of the areas of the lateral faces • Surface Area (or total area): sum of the lateral area and the area of the bases • Volume:theamount of space that a figure encloses

  5. Prisms: a polyhedron with two parallel & congruent faces • Bases: the pair of parallel, congruent faces • Lateral Faces: faces that are not bases • Common Prisms: cube triangular prism rectangular prism pentagonal prism hexagonal prism trapezoidal prism

  6. Altitude: a segment perpendicular to the bases (also the height of the prism) • Right Prism:lateral edges are altitudes ( to bases) • Oblique Prism: lateral edges are not  to the bases • Regular Prism: a prism with bases that are regular polygons

  7. Lateral Area of Prisms a e L.A. = Ph (P = perimeter of base, h = height) b d c h a b c d e h

  8. Lateral Area of Prisms L.A. = Ph (P = perimeter of base, h = height) Base: regular pentagon with side of 5 cm, Height: 11 cm

  9. Surface Area of Prisms S.A. = Ph + 2B (P=perimeter of base, h= height of prism, B= base area)

  10. Volume of Prisms V = Bh (B = base area, h = height of prism)

  11. Volume of a Rectangular Prism V = Bh V = lwh (l=length, w=width, h=height)

  12. Prisms Worksheet!

  13. 11.2,11.4:Surface Area & Volume of Cylinders

  14. Cylinders • Axis: segment with endpoints that are centers of the circular bases • Right Cylinder:axis is an altitude • Oblique Cylinder: axis is not an altitude

  15. Lateral Area of Cylinders 5m (L = Ph) L = 2rh (r = radius of base, h = height) C = 2r h =5m C = 2r h

  16. Surface Area of Cylinders (S.A. = L + 2B) S.A. = 2rh + 2r² (r = radius of base, h = height) 3 cm 10cm

  17. Volume of Cylinders (V = Bh) V = r²h (r = radius of base, h = height) 22 in 16 in

  18. Cylinders Worksheet

  19. 3-D Figures • Polyhedron: a solid with all flat surfaces that enclose a single region of space • Face: each flat surface (also a polygon) • Edges: line segments where the faces intersect • Vertex: a point where edges intersect edge face vertex

  20. Special Prisms • Cube: S.A. = 6s² V = s³ • Rectangular Prism: V = lwh

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