Question

"The volume of the trapezoidal prism is 1279.152 cubic feet. Determine the height of the trapezoidal base"

( Please include procedures )

Answer 1

The correct answer is 8.2 ft

Explanation:

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Answer 2

The height of the trapezoidal base is 7.2 ft.

Explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

`V=BH`

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

`1279.152=B(25.2)`

`B=50.76`

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is
`B=(1)/(2)(b_1+b_2)h`

Substitute B=50.76,
`b_1=10\ and\ b_2=4.1` in above formula.

`50.76=(1)/(2)(10+4.1)h`

`50.76=7.05h`

`h=7.2`

Hence, the height of the trapezoidal base is 7.2 ft.