Hexagonal Prism Volume
Hexagonal Prism Volume Calculation:
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s =
Length of one side of the hexagonal base
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h =
Height of the right-hexagonal prism
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V =
Cubic volume of the right-hexagonal prism
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Choose the number of decimals to show in your answer. This is also known as significant figures. Select an appropriate amount of significant figures based on the precision of the input numbers.
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A right-hexagonal prism is a volumetric object with a base of six equal sides extruded along an axis perpendicular to the hexagonal faces. The length of one side of the hexagon and height of the extrusion is enough to calculate the volume of the hexagonal prism. V = (3 √ 3 / 2) * s2hHexagonal Prism Volume Formula
Hexagonal Prism Volume Variables
Volume of a right-hexagonal prism is derived from two variables, side length and height.
- Side Length (s)
- Length of a single side of the hexagonal base. A hexagon has six equal sides so only a single side length is required to determine the hexagon area, which is the first step to finding the volume.
- Height (h)
- Height of the prism measured at a right-angle to the hexagonal face.
- Volume (V)
- Volume of the right-hexagonal prism in cubic units.
Hexagonal Prism Volume Solution
If a hexagonal prism has a side lengh of 5 and a height of 8 what is the volume?
- V = (3 √ 3 / 2) * s2h
- Formula to use for finding the volume of a right-hexagonal prism
- V = (3 √ 3 / 2) * 528
- Substitite in the values
- V = (3 * 1.732 / 2) * 25 * 8
- Calculate the powers, √3 has been rounded to three decimals
- V = 2.598 * 25 * 8
- Calculation inside brackets
- V = 519.6
- Calculate the remaining multiplication
- 519.6 cubic units
A right-hexagonal prism with a side length of 5 and a height of 8 will have a volume of about 519.6 cubic units.
Hexagonal Prism Volume Example
What is the volume of a hexagonal prism with a side length of 6 inches and a height of 12 inches?
- V = (3 √ 3 / 2) * 6212
- V = (3 * 1.732 / 2) * 36 * 12
- V = 2.598 * 36 * 12
- V = 1122.336
- 1122.336 cu in
A right-hexagonal prism with a side length of 6 inches and a height of 12 inches will have a volume of about 1122.336 cubic inches. Convert 1122.336 cubic inches to cubic centimetres.
Hexagon calculators:
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