Question

This trapezoid represents the base of a right prism that has a surface area of 1508 square feet. The sum of the lengths of the legs of the trapezoid is 50 feet. What is the height of the prism? Enter your answer in the box.​ Step by Step.. got the answer 1

Answer 1

The height of the trapezium prism is calculated as: 17.3 ft.

What is the Surface Area of a Trapezium Prism?

Surface area of trapezium prism = (b1+b2)h + PH.

Given the following:

• Surface area of trapezium prism = 1508 sq. ft
• b1 = 35 ft
• b2 = 11 ft
• h = 14 ft
• P = 50 ft
• H = ? (height of the prism)

Substitute the values into (b1+b2)h + PH:

1508 = (35 + 11)14 + (50)H

1508 = 644 + 50H

1508 - 644 = 50H

864 = 50H

H = 17.3 ft

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