The surface area of the composite shape is: 315 in.².
What is the Surface Area of the Composite Shape?
Surface area = surface area of square pyramid + surface area of square prism - 2(base area)
Surface area of square pyramid = Area of base + 1/2(perimeter of base × slant height) = 9² + 1/2[4(9) × 7] = 207 in.²
Surface area of square prism = 2a² + 4ah = 2(9²) + 4(9)(3)
Surface area of square prism = 2(9²) + 4(9)(3) = 270 in.².
Base area = 9² = 81 in.².
Surface area of the composite shape = 207 + 270 - 2(81) = 315 in.².
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