A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem is 3 units long The slant height is the hypotenuse of a right triangle formed with the apothem and the Using the Pythagorean theorem c- + b2 to find the slant height results in a slant height of units The lateral area issquare units

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sillywaffles360 sillywaffles360 · Answer 1 · 2021-03-30T03:21:45+02:00

Answer:

3, height of the pyramid, 6, 108

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raphealnwobi raphealnwobi · Answer 2 · 2022-03-23T17:07:07+01:00

The Lateral area of the hexagonal pyramid is 76.32 unit²

A pyramid is a three dimensional shape (has length, width and height) with polygonal base and flat triangular faces.

Let l represent the slant height. l, the height and the apothem forms a right angled triangle. Hence:

l² = 3² + 3²

l = 4.24 units

The perimeter of the base (P) = 6 units * 6 side = 36 units

Lateral area = (1/2) * l * P = 0.5 * 4.24 * 36 = 76.32 unit²

The Lateral area of the hexagonal pyramid is 76.32 unit²

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