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Question

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

A
1563.45
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B
1058.45
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C
1896.37
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D
1122.37
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Solution

The correct option is C 1122.37
Given : Height =6 cm
Regular hexagon has all its sides of equal length.
So, length of sides is 6 cm.
There will be total 6 equilateral triangle, as there are six sides at the base of prism.
Area of one equilateral triangle =34× side2
=34×36
=93
Area of 6 equilateral triangles =6×93=543
Base =543 sq.cm
Volume of prism = base × height
=543×12=1122.37 cu. m
Hence, option D is correct.

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