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Volume

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

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