How to Calculate the Volume of a Hexagonal Prism

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You need to utilize the volume formula for an irregular prism in order to find the volume of a hexagonal prism. The volume of an irregular prism equals the area of the base times the height of the prism. To calculate the area of a hexagon, you need to divide the hexagon into six separate triangles. Once you perform this area calculation, you then need to multiply the result by the height of your prism.

  • Find the length of one side of the hexagon. For example, assume the length of one side is 6 inches.

  • Square the length you measured, then multiply the result by 0.86602. In the example, 6 inches squared equals 36, then 36 times 0.86602 equals 31.17672.

  • Multiply the result in Step 3 by six. In the example, 31.17672 times six equals 187.06032 inches squared. This is the area of the hexagon.

  • Measure the height of the hexagon, then multiply the amount by the result from Step 4. In the example, assume a height of two inches. 187.06032 times two equals 374.12064. So the volume of the hexagonal prism is 374.12064 cubic inches.

References

  • Photo Credit hexagons image by FFprod66 from Fotolia.com
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