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Test Prep Find the surface area of a regular hexagonal prism with side length 4.2 millimeters, height 3.9 millimeters, and base area of approximately 45.8 square millimeters. Round to the nearest tenth.

Respuesta :

MrRoyal

The surface area of a shape is the amount of space on it

The surface area of the hexagonal prism is 189.9 square millimeter

How to determine the surface area

The given parameters are:

Side length : l = 4.2 mm

Height: h = 3.9 mm

Base area: A = 45.8 square mm

The surface area is then calculated as:

[tex]SA = 6lh + 3l^2\sqrt {3[/tex]

So, we have:

[tex]SA = 6 * 4.2 * 3.9 + 3 * 4.2^2\sqrt {3[/tex]

Evaluate

[tex]SA = 189.9[/tex]

Hence, the surface area of the hexagonal prism is 189.9 square millimeter

Read more about surface areas at:

https://brainly.com/question/24571594

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