Math, asked by rockstar378, 1 year ago

Volume by trapezoidal formula method is determined by the formula

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Answered by Anonymous
0
Well, let's dissect this polyhedron down to two understandable parts:

A 2-dimensional view of the prism; a.k.a. a trapezoid:

In accordance with the variables of the
the area of the trapezoid can be simply defined as the average length of the sides multiplied by the height.

  2.  Now this definition can be translated into the third dimension by simply multiplying by the length of prism (l):

(ignore the switch of the variable c to b)

Therefore, the final equation for the volume (a three-dimensional quantity) is:a+b/2 ×h ×l

 

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