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

Mathematics

1 answer:

MAVERICK [17]3 years ago

7 0

Answer:

The option B is the correct answer. 79.18 m²

Step-by-step 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

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