This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.



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This trapezoid represents the base of a right prism that has a surface area of 1280 square feet The sum of the lengths of the legs of the trapezoid is 52 feet W class=

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Answer:

6

Step-by-step explanation:

i took the test

The height of the prism is 49.2 feet

How to determine the height?

The given parameters are:

  • Area = 1280 square feet
  • The sum of the length legs = 52 feet

The area of the trapezoid is:

Area = 0.5 * (Sum of opposite sides) * Height

So, we have:

1280 = 0.5 * 52 * Height

This gives

1280 = 26 * Height

Divide both sides by 26

Height = 49.2

Hence, the height of the prism is 49.2 feet

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