How to Calculate Prismatic
What is Prismatic?
Calculates prism volume and surface area from base shape and height. Generalizes rectangular and triangular prisms.
Formula
Volume = base area × height (height perpendicular to base)
Step-by-Step Guide
- 1Volume = base area × height (height perpendicular to base)
- 2Surface area = 2 × base area + lateral area (sum of rectangular faces)
- 3Lateral area = base perimeter × height
- 4Works for any polygonal base (triangle, square, pentagon, etc.)
Worked Examples
Input
base area 25, h=10
Result
V 250
Common Mistakes to Avoid
- ✕Using slant vs. perpendicular height
- ✕Not correctly calculating base area
Frequently Asked Questions
What's the difference between prism and pyramid?
Prism: parallel, congruent bases (uniform); pyramid: tapers to point (1/3 volume of prism).
Can I have non-polygon base?
Yes; cylinder is prism with circular base; formulas adapt but require specific functions.
Ready to calculate? Try the free Prismatic Calculator
Try it yourself →