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Question

Find the surface area of the following figure if it is folded along the dotted lines. (all the measurements are in cm)


A

215

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B
240
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C
200
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D
220
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Solution

The correct option is A

215


Surface area of the figure = sum of areas of (I + II + III + IV + V)

=(15×3.5)+(5×3.5)+(15×3.5)+(5×3.5)+(15×5)

=215cm2

Alternate solution

Upon folding we get a cuboid excluding one of the top or bottom faces

Therefore surface area = 2(lb+ bh + lh) – lb = lb + 2h(l+b)

=(15×5)+7(20)=215cm2


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