A prismatoid has a square and an equilateral triangular bases whose edges measure 3 cm each. If the midsection is 5 cm2 and the altitude of the solid is 6 cm, find the volume of the solid.

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Alexia Mata · Accepted Answer

If the areas of the two parallel faces are A1 and A3, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A2, and the height (the distance between the two parallel faces) is h, then the volume of the prismatoid is given by   V  =            h      (              A        1            +      4              A        2            +              A        3              6  area of equilateral triangle = 3.89   c      m    2  area of square = 9   c      m    2  so volume =             6      (      3.89      +      (      4      ×      5      )      +      9      )        6    =  32.89  c      m    3

A prismatoid has a square and an equilateral triangular bases whose edges measure 3 cm each. If the midsection is 5 cm2 and the altitude of the solid is 6 cm, find the volume of the solid.

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