What is the surface area of this figure?

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ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 18 ft and 6 ft. The height of the rectangular prism is labeled 9 ft. The triangular base has an altitude drawn and labeled 8 ft. The sides of the triangle are labeled 10 ft, 10 ft, and 12 ft. The height of the triangular prism is 6 ft.

Respuesta :

The total surface area of the figure is 862ft²

How to calculate the surface area of a figure

The composite figure is made up of a pyramid and prism

Surface area of pyramid = 2(13*9) + (10*9) + (10*12)
Surface area of pyramid = 234 + 90 +120

Surface area of pyramid = 444ft²

For the rectangular prism

Surface area  = 2(11*9) + 2(10 * 11)

Surface area = 198 + 220
Surface area = 418ft²

Surface area of figure = 444 + 418

Surface area of figure = 862ft²

Hence the total surface area of the figure is 862ft²

Learn more on surface area here: https://brainly.com/question/20771646

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Answer:

The answer is 862.

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