Question

Use the following net to find the surface area of the solid figure it represents.

Answer 1

For this case we have that by definition, the surface area of a cylinder is given by:
`SA = LA + 2B`

Where:

LA: It is the lateral area of the cylinder

B: It is the area of the base

We have as data that:

`LA = 75.36 \ cm ^ 2\\B = 28.26 \ cm ^ 2`

Substituting:

`SA = 75.36 + 2 (28.26)\\SA = 75.36 + 56.52\\SA = 131.88`

Finally, the surface area is:

`131.88 \ cm ^ 2`

Answer:

Option D

Answer 2

The solid formed is a cylinder

The total surface area is
`131.88cm^2`

Explanation:

The given net is made up of a rectangle and two circles.

The total surface area is the area of the rectangle plus the area of the two circles.

This implies that:

`S.A=75.36+2(28.26)`

`\implies S.A=75.36+56.52`

`\implies S.A=131.88cm^2`

The rectangular surface can be folded into the curved surface of a cylinder with the two circles becoming the lid.