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A drama club is building a wooden stage in the shape of a trapezoidal prism. The height of the stage is 2 feet . Some measurements of the stage are shown here

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The area of all the faces of the stage, excluding the bottom is: 292 ft²

How to find the surface area?

To find the surface of all the faces of the stage excluding the base, we will find each individual area and add up together.

The formula for the area of a trapezium is given by the formula:

A = ¹/₂(sum of parallel sides) * height

Thus:

A = ¹/₂(20 + 10) * 12

A = 180 ft²

Area of the remaining faces = 2(13 * 2) + (10 * 2) + (20 * 2) = 112 ft²

Total surface area = 180 ft² + 112 ft²

Total surface area = 292 ft²

Complete question is:

A drama club is building a wooden stage in the shape of a trapezoidal prism. The height of the stage is 2 feet. Some measurements of the stage are shown here. What is the area of all the faces of the stage, excluding the bottom?

A drama club is building a wooden stage in the shape of a trapezoidal prism. The height-example-1
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