Volume of Solids

1. Volume of Three-Dimensional Figures

2. Three-Dimensional Figure A solid, that has length, width, and depth Merlin2525 at http://openclipart.org/detail/117355/geometry-1-by-merlin2525

3. Prisms A 3-D figure that has two parallel, identical bases The shape of the base tells the name of the prism By: Rfc1394 at http://openclipart.org/detail/28855/yellow-transparent-cube-by-rfc1394 Square Prism Triangular Prism

4. Pyramid 3-D figure that has one base, all other faces are triangles that share the same vertex (point) Name of the base names the pyramid roym at http://openclipart.org/detail/15237/pyramide-by-roym Pentagonal Pyramid

5. Cylinders A 3-D solid that has two parallel, identical circular bases gswanson at http://openclipart.org/detail/7498/storage-cylinder-by-gswanson

6. Cones A cone is a 3-D solid that has one circular base and one vertex. pascallapalme at http://openclipart.org/detail/35731/cone-by-pascallapalme

7. Finding the volume of three-dimensional figures

8. Volume of Rectangular Prisms The formula to find the volume of a rectangular prism is V = lwh . Take the length (l) of the rectangular prism and multiply it by the width (w) and then by the height (h). Your answer will always be units cubed.

9. Example To find the volume of the rectangular prism use the formula V = lwh .  You  multiply 8 x 8 x 12. Your final answer is 768 feet cubed .  By: Rfc1394 at http://openclipart.org/detail/28855/yellow-transparent-cube-by-rfc1394

10. Volume of Triangular Prisms To find the volume of a triangular prism you use the formula:  

11. Example To find the volume of the triangular prism you the formula  V = (1/2) bwh . V = (1/2) bwh V = (1/2) (6) (12) (4) V = (1/2) (288) V = 144 inches cubed

12. Volume of a Cylinder To find the volume of a cylinder you will use the formula:

13. Example To find the volume of the cylinder we need to use the formula V =  Bh . The area of the base of a cylinder is a circle.  Use 3.14 x the radius squared x the height.             V = (3.14) (4 x 4) (10)             V = 502.4 ft cubed   gswanson at http://openclipart.org/detail/7498/storage-cylinder-by-gswanson

14. Volume of a Pyramid To find the volume of a pyramid you use the following formula:

15. Example To find the volume of a pyramid you use the formula: (1/3) Bh . The "B" stands for the area of the base. The pyramid gives us the area of the base and the height. To find the volume of the pyramid we need to:     V = (1/3) (56) (32)         Multiply 56 and 32.     Then divide by 3.         V =  597.3 mm cubed

16. Volume of a Cone To find the volume of a cone, use the following formula.

17. Example To find the volume of the cone we will use the formula     V = (1/3) Bh         V = (1/3) (3.14) (r x r) (h)        V = (1/3) (3.14) (6) (6) (10)     V = (1/3) (3.14) (360)      V = (1/3) (1130.4)      V = 376.8 ft cubed pascallapalme at http://openclipart.org/detail/35731/cone-by-pascallapalme

18. Volume Formula reference sheet Rectangular Prism V = lwh Triangular Prism Cylinder Pyramid Cone

19. References Clip art from openclipart.org Merlin2525 at http://openclipart.org/detail/117355/geometry-1-by-merlin2525 Rfc1394 at http://openclipart.org/detail/28855/yellow-transparent-cube-by-rfc1394 Roym at http://openclipart.org/detail/15237/pyramide-by-roym Gswanson at http://openclipart.org/detail/7498/storage-cylinder-by-gswanson Pascallapalme at http://openclipart.org/detail/35731/cone-by-pascallapalme All Clipart not cited in a footnote and on this reference page I created using Paint .