General Prism Volume Calculator

cm²
Area of the cross-sectional base shape
cm
Perimeter of the cross-sectional base shape
cm
Length (depth) of the prism
Math Updated 16 Jun 2026

General Prism Volume Calculator is a mathematics calculator that helps you calculate the volume of a three-dimensional shape or container. The formula used is: V = Base Area × Length; Lateral = Perimeter × Length; Total = 2×Base Area + Lateral. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.

Formula

V = Base Area × Length; Lateral = Perimeter × Length; Total = 2×Base Area + Lateral

Example Calculation

Inputs
  • Base Area: 24 cm²
  • Base Perimeter: 20 cm
  • Prism Length: 12 cm

Suppose you enter: Base Area = 24, Base Perimeter = 20, Prism Length = 12. The calculator applies the formula (V = Base Area × Length; Lateral = Perimeter × Length; Total = 2×Base Area + Lateral) and shows all output values below. Change any input field to immediately see how the result changes.

Frequently asked questions

What is the General Prism Volume?
The General Prism Volume Calculator is a mathematics calculator that helps you calculate the volume of a three-dimensional shape or container. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
When should I use this calculator?
Use this calculator whenever you need a quick, accurate result for the volume of a three-dimensional shape or container without working through the arithmetic manually.
What units should I enter?
Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
How accurate are the results?
Results are mathematically exact given the formula and your inputs. Rounding to decimal places may introduce small display differences.
How do I interpret the result?
Check that all inputs are in the valid range for the formula. Some operations (e.g. square root, division) require non-negative or non-zero values.
How can I verify the calculation manually?
Use the displayed formula and work through the numbers step by step. If your manual result differs slightly, check rounding and unit conversions first.
Can I use this for planning and budgeting?
Yes. Run best-case, expected, and worst-case inputs to compare outcomes and make safer planning decisions.

Related calculators

Triangular Prism Calculator Triangular Prism Calculator is a mathematics calculator that helps you calculate triangular prism values from your input data. The formula used is: Triangle Area = ½×b×h; V = Triangle Area × Length; Total SA = 2×Triangle Area + Perimeter×Length. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units. Rectangular Prism (Cuboid) Calculator Rectangular Prism (Cuboid) Calculator is a mathematics calculator that helps you calculate rectangular prism (cuboid) values from your input data. The formula used is: V = l×w×h; SA = 2(lw+lh+wh); Diagonal = √(l²+w²+h²); Lateral = 2h(l+w). Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units. Cylinder Calculator Cylinder Calculator is a mathematics calculator that helps you calculate cylinder values from your input data. The formula used is: V = πr²h; Lateral = 2πrh; Total = 2πr(r+h); d = 2r. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.