The base side of a regular hexagonal prism is 4 cm, and the height is √3 cm. Find the volume of the prism.
| September 16, 2021 | education
Determine the area of the base of the prism.
The area of a regular hexagon is: Sb = 3 * √3 * a ^ 2/2, where a is the side of the hexagon.
Sb = 3 * √3 * 16/2 = 24 * √3 cm2.
Determine the volume of the hexagonal prism.
V = Sbn * h = 24 * √3 * √3 = 72 cm3.
Answer: The volume of a hexagonal prism is 72 cm3.
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