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Surface area???????????

Surface area???????????-example-1

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6 votes

Answer:

The option B is the correct answer. 79.18 m²

Explanation:

Surface area = Base area + Lateral surface area

Area of triangle = bh/2

b - base and h - height

To find the base area

We can consider the base is a hexagon.

A regular hexagon is a combination of 6 equilateral triangle

Base area = 6 * area of triangle

base b = 3

To find the height

h =√[(6.2)² - (5.6)₂] = 2.7

Area of triangle bh/2 = (3 * 2.7)/2 = 3.99

Area of base = 23.95

To find lateral surface area

Lateral surface area = 6 * area of triangle

Area of triangle = bh/2 =(3 *6.2)/2 = 9.3

Lateral surface area = 6 * 9.3 = 55.8

To find the total surface area

Total surface area = Base area + lateral surface area = 23.95 + 55.8

= 79.75 m²

Therefore the option B is the correct answer. 79.18 m²

User Alfreda
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