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Volume Volume Presentation Transcript

  • Volume Three-Dimensional Objects of
  • Volume
    • Cubic units of measure is used when measuring the volume ( V ).
    • The total number of cubic units it takes to completely fill the space occupied by an object is the volume of that object.
  • Rectangular Prism
    • The volume formula for a rectangular prism is:
    • Volume = length x width x height
    • or
    • V = lwh
    • W H
    • L
  • Rectangular Prism
    • Find the volume where:
    • Length = 4ft
    • Width = 3 ft
    • Height = 2 ft
    • W H
    • L
    • V = lwh
    • = 4ft x 3ft x 2ft
    • = (4x3) x ( 2 )
    • = 12 x 2
    • = (12 x 2)
    • =
  • Cubes
    • Find the volume for a cube where s = 3 cm
    • V = s ³
    • =
    • = 3cm x 3cm x 3cm
    • =
  • Cylinder
    • The volume formula for a cylinder is:
    • Volume = x radius x radius x height
  • Cylinder
    • Find the volume of this cylinder:
    • = 60 cubic meters
    2 m 5 m r = 2 m h = 5 m
  • Cone
    • The volume formula for a cone is:
    • Volume = ⅓( π x radius x radius x height)
            • V = ⅓( π x r² x h)
  • Cone
    • Find the volume of this cone:
    • V= ⅓( π r²h)
    • =⅓(3.14 x 3² x 5)
    • =⅓(3.14 x 9 x 5)
    • =⅓(3.14 x 45)
    • =⅓(141.3)
    • =47.1in³
    3 in 5 in
  • Rectangular Pyramid
    • The formula for volume of a rectangular pyramid is:
    • V = ⅓ (length x width x height)
            • V = ⅓ (lwh)
  • Rectangular Pyramid
    • Find the volume of this rectangular pyramid:
    • V= ⅓(lwh)
    • =⅓(3 x 2 x 5)
    • =⅓(6 x 5)
    • =⅓(30)
    • =10cm³
    3 cm 2 cm 5 cm