Volume of a Prism Calculator
Find the volume, base area, lateral surface area, and total surface area of common prisms. Select the base shape, enter your dimensions, and get instant calculations.
A prism is a 3D shape with two identical parallel bases connected by rectangular faces. The volume of any prism is simply the base area multiplied by the length (or depth) between the two bases: V = base area × length.
For a rectangular prism (box), the base area is length × width, giving V = l × w × h. For a triangular prism, the base area is (1/2) × base × height of the triangle, so V = (1/2) × b × h_triangle × length. For a regular hexagonal prism, the base is a regular hexagon with area (3√3/2) × s².
The lateral surface area is the sum of all the rectangular side faces, which equals the perimeter of the base multiplied by the prism length. The total surface area adds the two base faces. Prisms are common in architecture (beams, columns), packaging (boxes, Toblerone), and crystallography.