www.VirtualNerd.com

How Do You Find the Volume of a Composite Figure?

Find the volume of the composite figure.

Summary

  1. The left side of the composite figure is a rectangular prism
  2. The right side of the composite figure is a rectangular pyramid
  3. 'V' stands for volume
  4. 'B' is the area of the base
  5. 'h' stands for the height
  6. The base of each separated figure is a rectangle, so the area of a rectangle is length, 'l', times width, 'w'
  7. Be careful - the base of the prism is different from the base of the pyramid!
  8. 'yd3' stands for yards cubed

Notes

    1. A composite figure is a figure that's made up of several different shapes
    1. A composite figure is a figure that's made up of several different shapes
    1. A rectangular prism is a prism whose bases are rectangles
    2. A rectangular pyramid is a pyramid whose base is a rectangle
    1. A rectangular prism is a prism whose bases are rectangles
    1. The volume of a prism is V=B•h
    2. 'V' stands for volume, 'B' stands for the area of the base, and 'h' stands for the height
    3. The base is a rectangle
    4. The area of a rectangle is length, 'l', times width, 'w'
    5. So our formula is V=l•w•h
    1. Our formula is V=l•w•h
    2. 'V' stands for volume
    3. 'l' stands for the length
    4. 'w' stands for the width
    5. 'h' stands for the height
    6. 'yd3' stands for yards cubed
    1. A rectangular pyramid is a pyramid whose base is a rectangle
    1. The volume of a pyramid is V=(1/3)B•h
    2. 'V' stands for volume
    3. 'B' stands for the area of the base
    4. 'h' stands for the height
    5. The base is a rectangle, so the area of a rectangle is length, 'l', times width, 'w'
    6. So our formula becomes V=(1/3)(l•w)•h
    7. Be careful - the base of the pyramid is different from the base of the prism!
    1. The base of the pyramid is different from the base of the prism
    2. The base of the prism had the dimensions 10x12, but the base of the pyramid has the dimensions 10x6
    3. Our formula is V=(1/3)(l•w)•h
    4. 'V' stands for volume of the pyramid
    5. 'l' stands for the length of the base of the pyramid
    6. 'w' stands for the width of the base of the pyramid
    7. 'h' stands for the height of the pyramid
    8. 'yd3' stands for yards cubed
    1. The composite figure is the combination of the rectangular prism and rectangular pyramid
    2. So we can just add their volumes to find the volume of the composite figure
    1. 'yd3' stands for yards cubed
    2. The composite figure is the combination of the rectangular prism and rectangular pyramid
    3. So we can just add their volumes to find the volume of the composite figure