Question

This trapezoid represents the base of a right prism that has a surface area of 1688 square feet. The sum of the lengths of the legs of the trapezoid is 42 feet.

What is the height of the prism?

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ft

Answer 1

Answer:

The answer is 6.

Step-by-step explanation:

Is this correct?

Answer 2

The height of the prism is 8 feet.

What do you mean by surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given : sum of length of legs = 42 feet

Surface Area of trapezoid = 1/2* (Sum of opposite side)* height

                                            = 1/2* 42*18

                                             = 468

Perimeter = 15+37+ 42

                = 94 feet

Total Area= 2 ( Area of base) + pH

       1688   = 936 + 94H

       H= 8 feet.

Thus, height of the prism is 8 feet.

Learn more about surface area here:

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