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VladimirAG [237]
3 years ago
7

Find the surface area of each figure?Please help

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
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Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

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

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

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
--------------------------------------------------
2.5 x 2.5 = 6.25m²

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

<em>(* 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)</em>

--------------------------------------------------
Answer: 503m²
--------------------------------------------------

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