Question

Explain how to find the surface area of a net.

Answer 1

See below

Explanation:

Introduction:-

Nets are a 2-dimensional representation of a 3-dimensional shape.

For example - Imagine a cubical cardboard box , when we open all the sides of the box and lay it on a 2D surface it looks like ( See attachment 1 ) The first 3D figure is a cube and the second figure is of its net .

To find the surface area of a net :-

Take example of a cube . When we open the sides and lay it on the 2D surface it looks like something as shown in attachment . We can see that it consists of 6 squares of same dimensions . If we take each side of the square to be "a" , then the area of one Square will be ,

• Area = l × b
• Area = a × a
• Area = a²

Therefore area of 6 squares ,

• Area = 6 × a²
• Area = 6a²

Similarly , if we take a cuboidal box / rectangular prism , the area of its net will be

• Area = 2( lb + bh + hl)

where l , b and h are the length, breadth and height of the cuboid .

Hope it helps !