A prism volume calculator computes the space inside any prism — a 3D shape with two identical polygon bases connected by rectangular faces. Select triangular or hexagonal prism and enter dimensions.
A prism is a 3D solid with two identical parallel polygonal bases connected by rectangular lateral faces. The volume of any prism equals the base area multiplied by the height (length).
Prisms are named by their base shape: triangular prism (tent shape, Toblerone box), hexagonal prism (pencils, nuts and bolts), pentagonal prism, and so on.
Any prism: V = Base Area × Length (height).
Triangular prism: V = (1/2) × base × triangle height × prism length.
Hexagonal prism: V = (3√3/2) × side² × length ≈ 2.598 × side² × length.
Example: Triangular prism with base 6 cm, triangle height 4 cm, length 10 cm: V = ½ × 6 × 4 × 10 = 120 cm³.
Triangular: base 4 cm, height 3.5 cm, length 21 cm: V = ½×4×3.5×21 = 147 cm³.
Side 3.5 mm, length 190 mm: V = 2.598×3.5²×190 = 6,047 mm³ = 6.05 cm³.
Triangular: base 2 m, height 1.5 m, length 2.5 m: V = ½×2×1.5×2.5 = 3.75 m³.
Side 8 mm, length 30 mm: V = 2.598×64×30 = 4,988 mm³ ≈ 4.99 cm³.
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Answers to common questions about the prism volume calculator (triangular & hexagonal).
V = Base Area × Height (Length). This works for any prism — triangular, rectangular, pentagonal, hexagonal, or any polygon base.
V = ½ × b × h_triangle × L where b = triangle base, h_triangle = triangle height, L = prism length.
V = (3√3/2) × a² × h where a = side length and h = prism height/length. This equals approximately 2.598 × a² × h.
A prism has two identical parallel bases → V = base area × height. A pyramid has one base tapering to a point → V = (1/3) × base area × height. A pyramid is ⅓ of a prism with the same base and height.
No. A right prism has bases perpendicular to its lateral faces. An oblique prism has tilted bases. Both use the same volume formula: V = base area × perpendicular height.