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Saturday, February 20, 2016

VOLUME OF A TRIANGULAR PRISM

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How Do You Find the Volume of a Triangular Prism?

Find the volume of the triangular prism below

SUMMARY

  1. B stands for the area of the base
  2. Since our bases are triangles, we can use (1/2)bh for B
  3. We can call the height of the triangle h1 and the height of the prism h2 to avoid confusion
  4. Volume is measured in units cubed, so we have 50 cm3
 

NOTES

  1.  
    1. The volume of a prism is V=Bh
    2. B is the area of the base of the prism
    3. h is the height of the prism
    4. The base of our prism is a triangle, so we can use (1/2)bh, the area of a triangle, for B
    5. We can call the height of the triangle h1 and the height of the prism h2 to avoid confusion
  2.  
    1. V is the volume, which is what we are trying to find
    2. b is the base of the triangle, which is 5 cm
    3. h1 is the height of the triangle, which is 2 cm
    4. h2 is the height of the prism, which is 10 cm
  3.  
    1. We can plug 5 in for 'b', 2 in for 'h1', and 10 in for 'h2' in our equation
  4.  
    1. We need to use the order of operations to simplify the right hand side
    2. First multiply 5•2 in the innermost parentheses
    3. Then multiply (1/2)•10 within the next set of parentheses
    4. This is the same as 10/2, or 5
    5. Then multiply 5•10 to get 50 cm3

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