Question

In: Advanced Math

The base of a right pyramid is a regular hexagon with sides of length 10 m....

The base of a right pyramid is a regular hexagon with sides of length 10 m. The altitude is 5 m. Find the total surface area of the pyramid. The area is _______m².

Expert Solution

The total surface area of pyramid is the sum of the base area and the lateral area.

The base area is the area of the regular hexagon with the side length of 10 m. This hexagon is the union of 6 equilateral triangles with the side length of 10 m.

the area of the equilateral triangles,

the area of base of pyramid,

.......................i)

and

the apothem of the regular hexagon at the base,

The lateral area is 6 times the area of one lateral face

Each lateral face is a triangle with the base of 10 m long.

the slant height is,

The lateral area,

..................ii)

hence the total surface area of the pyramid is,

Colby Messinger answered 2 years ago

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