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How Do You Find the Volume of a Triangular Pyramid?

Find the volume of the triangular pyramid in the diagram.

Summary

  1. B stands for the area of the base
  2. The base is a triangle
  3. The area of a triangle is (1/2)bh, where b is the base of the triangle and h is the height of the triangle
  4. h1 is the height of the triangle base and h2 is the height of the pyramid

Notes

    1. The volume of a pyramid is (1/3)Bh, where B is the area of the base and h is the height of the pyramid
    2. The base of the pyramid is a triangle
    1. b, the base of the triangle, is 10 cm
    2. h1, the height of the triangle, is 4 cm
    3. h2, the height of the pyramid, is 6 cm
    1. We'll have to use the order of operations to find the volume
    1. We'll have to use the order of operations to find the volume
    2. We start with the inner most parentheses and work our way out
    3. Multiplying by one third is the same as dividing by 3