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An oblique prism has trapezoidal bases. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units

Tara Andrews

in Mathematics

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Kathy Robinson on January 11, 2019

This is the concept of volume of solid figures, the volume of a given figure is given by:volume=(area of base)*(height)In our case the area of the base will be determined by the area of the trapezoid. That is:Area=1/2*h*(a+b)height,h=x a=xb=2xthus;Area=1/2*x*(2x+x)=3/2x^2Given that the height of the prism is 20 units, the volume will be:V=(3/2 x^2*20)V=30 x^2 cubic unitsThe answer is 30 x^2 cubic units


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