Question

Find the surface area of each figure?Please help

Answer 1

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Surface area of the cube
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6(2.5 x 2.5) = 37.5m²

(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)

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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

(* The opposite side of the rectangle area is the same, therefore x2)

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Overlapping area
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2.5 x 2.5 = 6.25m²

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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²

(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)

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Answer: 503m²
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