Verified Answer :

The surface area is 72cm squared

Answer:

Option D.

Step-by-step explanation:

The area of a rectangle is

\(Area=length \times width\)

In the given net we have 6 rectangles with three pairs of congruent rectangles.

Rectangle 1 and 5 are congruent with length 3 cm and width 2 cm.

\(A_1=A_5=3 \times 2=6\)

Rectangle 2 and 4 are congruent with length 6 cm and width 3 cm.

\(A_2=A_4=6 \times 3=18\)

Length of width of rectangle 3 are 6 cm and 2 cm respectively.

\(A_3=A_6=6 \times 2=12\)

The total area of the figure is

\(A=A_1+A_2+A_3+A_4+A_5+A_6\)

\(A=6+18+12+18+6+12\)

\(A=72\)

The area of figure is 72 square cm. Therefore, the correct option is D.

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