The total surface area of the composite figure is calculated as 444 m².
What is the Surface Area of the Composite Figure?
Total surface area = surface area of the bottom rectangular prism + surface area of the top triangular prism - area of the shared surface.
Surface area of the triangular prism = (S1 + S2+ S3)L + bh = (16 + 10 + 10)5 + (6)(16) = 276 m²
Rectangular prism surface area = 2(wl + hl + hw) = 2(5×16 + 4×16 + 4×5) = 328 m²
Area of shared surface = 2(16)(5) = 160 m²
Total surface area = 328 + 276 - 160 = 444 m².
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