Question

Find the surface area of the net.Enter the correct answer in the box.

Answer 1

We can divide the given figure into different rectangular faces:

Faces 1 and 3 have the same measure, also 2 and 4, and faces 5 and 6.

Faces 1 and 3 have the following dimensions: L=100cm W=50cm.

Faces 2 and 4 have the following dimensions: L=100cm W=35cm.

Faces 5 and 6 have the following dimensions: L=50cm W=35cm.

The surface area of a rectangular face is given by:

`SA=L*W`

Thus, the surface areas of the given faces are:

`\begin{gathered} SA_1=100cm*50cm=5000cm^2 \\ SA_3=100cm*50cm=5000cm^2 \\ SA_2=100cm*35cm=3500cm^2 \\ SA_4=100cm*35cm=3500cm^2 \\ SA_5=50cm*35cm=1750cm^2 \\ SA_6=50cm*35cm=1750cm^2 \end{gathered}`

The surface area of the net is the addition of all of these surface areas:

`\begin{gathered} SA_(net)=(5000+5000+3500+3500+1750+1750)cm^2 \\ SA_(net)=20500cm^2 \end{gathered}`