The surface area of the figure is 313.2 centimeters square.
The given figure is a hexagonal pyramid.
It has a hexagonal base and six triangular lateral faces.
What is the formula for determining the surface area of the pyramid?
The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where a-represents the apothegm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Therefore ,Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2)
Surface area = 93.6 + 219.6
Surface area = 313.2 cm^2
Therefore, the surface area of the figure is 313.2 centimeters square.
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