A rectangular cardboard of dimension 20 m $\times$ 10 m is placed on a table. 4 squares of side 2.5 m are cut out from the corners and the 4 sides are folded . Find the surface area of the resulting figure which is to be painted on all the sides.

175

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155

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180

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100

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Solution

The correct option is A
175

A square of side 2.5m is cut off from all the corners. Therefore the length of a rectangular sheet changes to 15m (20 - 2 $\times$ 2.5) and breadth to 5 m(10 - 2 $\times$ 2.5)

Therefore the surface area of the resulting figure = sum of areas of I, II, III, IV, V

= (15 $\times$ 2.5) + (5 $\times$ 2.5) + (15 $\times$ 2.5) + (5 $\times$ 2.5) + (15 $\times$ 5) = 175 $m^{2}$

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A rectangular cardboard of dimension 20 m × 10 m is placed on a table. 4 squares of side 2.5 m are cut out from the corners and the 4 sides are folded . Find the surface area of the resulting figure which is to be painted on all the sides.

A rectangular cardboard of dimension 20 m $\times$ 10 m is placed on a table. 4 squares of side 2.5 m are cut out from the corners and the 4 sides are folded . Find the surface area of the resulting figure which is to be painted on all the sides.