![]() Once we have the area of the base (area of the hexagon). Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. For this we must multiply the perimeter of the hexagon by the apothem and then divide the result by 2. I am not sure where we differ but my answer is $3$ times yours. Calculate the volume of a hexagonal prism with the apothem as 5 m, base length as 12 m, and height as 6 m. The volume is then $23.38 \times 15 = 350.74$ cubic centimeters. ![]() In an answer to a previous question Stephen gave an expression for the area of a regular hexagon with $n$ sides and side length $a$ units. ![]() If the base were a circle of radius 3 cm rather than a hexagon then the area of the base would be $\pi r^2 = \pi \times 3^2.$ but $\pi$ is approximately $3$ so the area of the base is $3 \times 3^2 = 27$ square centimeters.The height is $15$ cm so the volume is approximately $27 \times 15 = 405$ cubic centimeters.Īt this point I am not convinced by the book's answer or yours. First I did a "back of the envelope" calculation to approximate the volume. I assume the book means a regular hexagon. The book that I am working from says that the answer is 77.94cm(cubed) but no matter what the equation I use I always get the answer 116.9/117. Hexagonal Prism Images Examples of Hexagonal Prisms. It is measured in cubic units such as m 3, cm 3, mm 3, ft 3. I am being asked to find the volume of a hexagonal prism, base edges are 3cm, and a height of 15cm. An hexagonal prism is a 3D object with two regular hexagonal caps and rectangular or square sides. The volume of a hexagonal prism is the space it occupies in the three-dimensional plane. The volume of a hexagonal prism - Math Central Calculating the Volume of a Hexagonal Prism - Easy Step-by-Step GuideIn this video, well be showing you how to find the volume of a hexagonal prism using a.
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