Question

What is the surface area of the geometric figure that can be formed by the net?

(Image)

A. 36 cm2
B. 60 cm2
C. 66 cm2
D. 72 cm2

Answer 1

The surface area is 72cm squared

Answer 2

Option D.

Explanation:

The area of a rectangle is

`Area=length * 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 * 2=6`

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

`A_2=A_4=6 * 3=18`

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

`A_3=A_6=6 * 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.