Question 1074800
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Let ABCDEFGH be a rectangular prism, as shown, where AB = 2, AD = 3, and AE = 5. Find the volume of pyramid ACFH.
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The volume of our pyramid is equal to the volume of the rectangular prism minus the volumes of three OTHER pyramids 
that you can easily calculate:


{{{V[ACFH]}}} = 2*3*5 - {{{V[FAHE]}}} - {{{V[CABF]}}} - {{{V[CFGH]}}} - {{{V[CADH]}}} - {{{V[CADH]}}} = 


      = 30 - {{{(1/3)*(1/2)*5*3*2}}} - {{{(1/3)*(1/2)*5*3*2}}} - {{{(1/3)*(1/2)*5*3*2}}} - {{{(1/3)*(1/2)*5*3*2}}} = 


      = 30 - {{{(4/(3*2))*5*3*2}}} = 30 - 20 = 10 cubic units.
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