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Yuki888 [10]
3 years ago
11

Find the Total Surface area of a Pyramid. Its base is a regular hexagon 4cm on a side. its height is 8 cm. Round off to nearest

tenth.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

The total surface area of a regular hexagonal pyramid is 146.2 cm².

Step-by-step explanation:

The base is a regular hexagon 4cm on a side. its height is 8 cm.

The total surface area of a pyramid with regular hexagon base

A=\frac{3\sqrt{3}}{2}a^2+3a\sqrt{h^2+\frac{3a^2}{4}

Where, a represents the base edge and h represents the height of the pyramid.

The area of given regular hexagonal pyramid is

A=\frac{3\sqrt{3}}{2}(4)^2+3(4)\sqrt{(8)^2+\frac{3(4)^2}{4}

A=\frac{3\sqrt{3}}{2}(16)+12\sqrt{64+12}

A=24\sqrt{3}+12\sqrt{76}

A=146.182794027

A=146.2

The total surface area of a regular hexagonal pyramid is 146.2 cm².

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