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Area and Volume Formulas for Geometric Shapes

This chapter provides important formulas for calculating the area and volume of various geometric shapes including triangles, rectangles, trapezoids, hexagons, right prisms, cylinders, pyramids, cones, spheres, and circles.

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Area and Volume Formulas for Geometric Shapes

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  1. Chapter 12

  2. IMPORTANT!From Chapter 11, KNOW area formulas for:TrianglesRectanglesTrapezoidsHexagons

  3. Name the parts: 3 1 2 (Right Rectangular Prism)

  4. 1- lateral edge (height)2- lateral face (side)3- base (top/bottom)

  5. RIGHT PRISM: SA = ( ____ )( ____ ) + 2( ____ )

  6. SA = ph + 2B height Base Area base perimeter

  7. RIGHT PRISM: Volume = ( ____ )( ____ )

  8. V = Bh Base Area height

  9. RIGHT CYLINDER: SA = 2( __ )( __ )( __ ) + 2( __ )( __)

  10. SA = 2πrh + 2πr2

  11. RIGHT CYLINDER: V = ( ____ )( ____ )( ____ )

  12. V = πr2h

  13. Complete:

  14. Name the parts: 1 2 4 3 5 (Square Pyramid)

  15. 1- lateral edge 2- slant height (l) 3- apothem 4- height (h) 5- base edge

  16. PYRAMID: SA = ½ ( ___ )( ___ ) + ( ___ )

  17. SA = ½ pl + B base Area base perimeter

  18. PYRAMID: V = ( ____ )( ____ )

  19. V = Bh Base Area

  20. Name the parts: 3 1 2

  21. 1- height (h) 2- radius (r) 3- slant height (l)

  22. CONES: SA = ( __ )( __ )( __ ) + ( __ )( __ )

  23. SA = π r l + π r2

  24. CONES: V = 1/3 ( ___ )( ___ )( ___ )

  25. V = 1/3 πr2 h volume of a cylinder

  26. Complete the chart:

  27. SPHERES: Area = ( ___ )( ___ )( ___ )

  28. A =4 πr2 Area of a circle

  29. SPHERE: V = ( ___ )( ___ )( ___ )

  30. V =π r3

  31. If r3 = 8 then r = ____If r3 = 27 then r = ____If r3 = 125 then r = ____

  32. If r3 = 8 then r = 2If r3 = 27 then r = 3If r3 = 125 then r = 5

  33. Find the slope and y-intercept of the following line:6x – 8y = 15

  34. 6x – 8y = 15-8y = -6x+ 15y = x + slope (3/4) y-intercept (-15/8)

  35. Solve by factoring:x2 – 3x – 10 = 0

  36. x2 – 3x – 10 = 0(x – 5)(x + 2) = 0x = 5, -2

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