Volume of a General Prism
A prism has the same cross-section all the way through. Its volume is found by multiplying the area of the base by the length/height of the prism.
Method
- Find the base area.
- Use the shape of the prism’s base: rectangle, triangle, parallelogram, or another polygon.
- Compute its area carefully and simplify if possible.
- Multiply by the prism’s height.
- The height is the distance between the two congruent bases.
- Write: Volume = base area × height.
- Simplify the result.
- Leave the final answer in simplest exact form unless decimals are required.
Example structure
If the base area is expressed as an algebraic or numerical value, substitute it first, then multiply by the prism height. Keep units cubed, such as cm³, m³, or in³.
Check your answer
- Does the result have cubic units?
- Is the base area computed correctly before multiplying?
- If the prism is taller, should the volume increase proportionally?
A good final answer is concise, simplified, and unit-correct.