Question

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

Answer 1

Answer:

The solid formed is a cylinder

The total surface area is $131.88cm^2$

Step-by-step 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.

Answer 2

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