4) The base edge of a regular hexagonal prism is 6 cm and height is 10 cma) Find its base area and lateral surface area.b) Find its total surface area.
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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 =
4
3
× side
2
=
4
3
×36
=9
3
∴ Area of 6 equilateral triangles =6×9
3
=54
3
∴ Base =54
3
sq.cm
Volume of prism = base × height
=54
3
×12=1122.37 cu. m
Hence, option D is correct
Mark me as brainliest
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 =
4
3
× side
2
=
4
3
×36
=9
3
∴ Area of 6 equilateral triangles =6×9
3
=54
3
∴ Base =54
3
sq.cm
Volume of prism = base × height
=54
3
×12=1122.37 cu. m
Hence, option D is correct
Mark me as brainliest
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