Answer:10.5
Step-by-step explanation: I hope this helps
The height, x, of the right trapezoidal prism is 10.5 ft.
Given that, the volume of this right trapezoidal prism is 341.25 ft³.
We need to find the height x, of the prism.
The formula to find the volume of this right trapezoidal prism is Volume=BH.
Where B=Area of the Base and H=Height.
Area of the Base(Trapezium)=1/2(a+b)×h
Where a and b are parallel sides of the trapezium and h= height of the trapezium.
Now, the area of the Base=1/2(8+5)×5=32.5 ft²
The volume of the right trapezoidal prism=32.5×x
⇒341.25=32.5×H
⇒x=10.5 ft
Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.
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