Base Edge of Heptagonal Prism based on the Surface Area

Find the base edge of the heptagonal prism with the use of the surface area of the prism and height. There are 7 edges in the base and seven squares in the heptagonal prism. It is fifth of the infinite series of complex prisms.

length
area
length

Find the base edge of the heptagonal prism with the use of the surface area of the prism and height. There are 7 edges in the base and seven squares in the heptagonal prism. It is fifth of the infinite series of complex prisms.

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Formula:

a = ( √ ( 49 * h2 + 14 * A * cot ( 180° / 7 ) ) - 7 * h ) * ( tan ( 180° / 7 ) / 7 ) Where, a = Base Edge A = Surface Area h = Height

Example

If the height and the surface area of the heptagonal prism is 11 mm and 22 mm2, then

Base Edge = ( √ ( 49 * 112 + 14 * 22 * cot ( 180° / 7 ) ) - 7 * 11 ) * ( tan ( 180° / 7 ) / 7 )
= 0.28 mm


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