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Q.

The base edge of a regular hexagonal prism is 6 cm and its bases are 12 cm apart. Find its volume in cu. cm


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a

1563.45 cu.cm

b

1058.45 cu.cm

c

1896.37 cu.cm

d

1122.37 cu.cm 

answer is D.

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Detailed Solution

Given,
Base edge of height is 12 cm.
And length of sides = 6 cm.
All the 6 sides of a regular hexagon is the same in measure.
Thus, the base of the prism has six sides, there will be a total of six equilateral triangles.
One equilateral triangle's surface area =34×side2
=34×36 
=93  Therefore,
Six equilateral triangle's surface area
=6×93
=543
So, the base area of prism=543 sq. cm 
Prism’s volume = base × height
=543×12
=1122.37 cu.cm So, the correct option is 4.
 
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