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Volume of a Prism Formula

Result

1/4 h n s^2 cot(π/n)≈0.25 h n s^2 cot(3.14159/n)
(assuming n base vertices, base edge length s, and height h)

Visual representation


(drawn with base edge length 1, 11 base vertices, and height 2)

Properties of n-prism

volume | 1/4 h n s^2 cot(π/n)≈0.25 h n s^2 cot(3.14159/n)
lateral surface area | h n s
base area | 1/4 n s^2 cot(π/n)≈0.25 n s^2 cot(3.14159/n)
surface area | n s (h + 1/2 s cot(π/n))≈n s (h + 0.5 s cot(3.14159/n))
(assuming n base vertices, base edge length s, and height h)

Back to List | POWERED BY THE WOLFRAM LANGUAGE