Question

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Answer 1

The area of a 2D form is the amount of space within its perimeter. The lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m². The surface area of the cylinder will be 414 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

A.) The area of the lateral faces are:

Latera area of the triangular prism = (38×7)+(38×8.06)+(38×4) = 724.28m²

The total area of the prism is:

The total area of the prism = Lateral Area + Area of the base face

                                              = 724.28m² + 2(0.5×7×4)

                                              = 724.28m² + 28m²

                                              = 752.28m²

Hence, the lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m².

B.) The surface area of the cylinder can be written as,

Surface Area = 2πrl + 2πr²

                      = (2×π×9×14) + (2×π×9×9)

                      = 252in² + 162in² = 414in²

Hence, the surface area of the cylinder will be 414 in².

Learn more about Area:

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