find the volume of right prism if the base lenght is 120 ,the height =49, the base width of two parallel sides of base and upper base is 59 and 75 respectively.

Question

mathstudent55 · Answer

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mathstudent55 · Answer

Were you given a figure, or just the question above?

mathstudent55 · Answer

Since the base has 2 parallel sides and 2 non-parallel sides, the base is a trapezoid.

mathstudent55 · Answer

The volume of the prism is the area of the base multiplied by the height.

mathstudent55 · Answer

I don't think there is enough information given just from the text above to find the area of the base.

anonymous · Answer

hey @mathstudent55 i was trying to attache a file for a long time but when i try to attached post LEFT working now i am going to drawing

anonymous · Answer

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mathstudent55 · Answer

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If the trapezoidal base is as I drew above, then the side measuring 46 is the height of the trapezoid, and you can use it to find the area of the trapezoid. Notice that this is only true if the side measuring 46 is perpendicular to the bases.

The area of a trapezoid is the sum of the bases multiplied by the height and divided by 2:

$ A_{trapezoid} = \dfrac{(b_1 + b_2)h}{2} $

The volume of the prism is the area of the base multiplied by the height of the prism, 120.