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The volume of this right trapezoidal prism is 341.25 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.



The Volume Of This Right Trapezoidal Prism Is 34125 Ft What Is The Height X Of The Prism Enter Your Answer As A Decimal In The Box class=

Sagot :

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.

What is the formula to find the volume of this right trapezoidal 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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