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

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carlosego carlosego · Answer 1 · 2019-07-10T19:37:38+02:00

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

Where:

LA: It is the lateral area of the cylinder

B: It is the area of the base

We have as data that:

[tex]LA = 75.36 \ cm ^ 2\\B = 28.26 \ cm ^ 2[/tex]

Substituting:

[tex]SA = 75.36 + 2 (28.26)\\SA = 75.36 + 56.52\\SA = 131.88[/tex]

Finally, the surface area is:

[tex]131.88 \ cm ^ 2[/tex]

Answer:

Option D

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kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-07-10T19:43:21+02:00

Answer:

The solid formed is a cylinder

The total surface area is [tex]131.88cm^2[/tex]

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:

[tex]S.A=75.36+2(28.26)[/tex]

[tex]\implies S.A=75.36+56.52[/tex]

[tex]\implies S.A=131.88cm^2[/tex]

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