Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²
<h3>What is the Surface Area of a Rectangular Prism?</h3>
Surface area of a rectangular prism = 2(wl+hl+hw)
Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together
Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²
Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²
Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²
Surface area of the composite shape = (102 + 72) - 12 = 162m²
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