A square hole of cross sectional area 4 cm2 is drilled across a cube with its

Question

A square hole of cross sectional area 4 cm $^{2}$ is drilled across a cube with its length parallel to a side of the cube. If an edge of the cube measures 5 units, what is the total surface area of the structure so formed?

Options:

A . 158 cm

^{2}

B . 190 cm

^{2}

C . 166 cm

^{2}

D . 182 cm

^{2}

Answer: Option D
:
D

Ans: d) 182 cm $^{2}$

New SA=(original SA)+(SA of square channel formed through the cube)-(squares on 2 faces)

= (25x6)+(2x5x4)-(4+4) ;=182 sq units

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