Solve right prism measures with inputs and instant outputs. Review geometry values through guided fields. Export results, study formulas, and verify worked examples easily.
| Leg a | Leg b | Length | Hypotenuse | Base Area | Volume | Total Surface Area |
|---|---|---|---|---|---|---|
| 3 | 4 | 10 | 5 | 6 | 60 | 132 |
| 5 | 12 | 8 | 13 | 30 | 240 | 300 |
| 8 | 15 | 20 | 17 | 60 | 1200 | 920 |
This calculator uses a right triangle as the prism base.
A right angled triangular prism has a right triangle at each end. The two triangular faces are parallel. The side faces are rectangles. This makes the solid simple to study. It is useful in school maths, design work, and measurement practice.
Manual prism calculations take time. Small input mistakes can change the final answer. This calculator reduces that risk. You enter the two triangle legs and the prism length. The tool then returns the key measures in one place. It shows volume, total surface area, lateral area, triangle perimeter, and the longest interior diagonal.
The hypotenuse tells you the third side of the triangular base. Base area helps you find volume. Perimeter helps you find lateral surface area. Acute angles help when checking geometry steps. Inradius and circumradius are also useful. They support deeper triangle analysis. These outputs make the tool more than a basic volume finder.
Students often see this prism in geometry chapters. Teachers use it for area and volume practice. It also appears in construction sketches, ramps, packaging models, and 3D drafting. Because one face is a right triangle, the formulas stay clean. This makes the shape ideal for learning derived measurement rules.
Good maths tools should not hide the method. That is why this page also lists the formulas. You can compare the formula with the output. You can also check the substitution lines after calculation. This improves understanding. It also helps with homework checking and exam revision.
Always use the same unit for every input. Do not mix centimeters with meters. Set the decimal precision that matches your task. Then review the result table carefully. Export the answer if you want to save a copy. This creates a fast and reliable workflow for right angled triangular prism calculations.
You need the two perpendicular sides of the right triangle and the prism length. Those three values are enough to calculate the main prism measures.
Yes. It uses the Pythagorean theorem. The hypotenuse is derived from the two legs you enter for the triangular base.
First, the calculator finds the base area using ½ × a × b. Then it multiplies that area by the prism length.
Lateral surface area is the area of the three rectangular side faces only. It does not include the two triangular ends.
Yes. Decimal inputs are supported. This is useful for practical measurements, model dimensions, and detailed geometry work.
All inputs should use the same unit. Mixed units produce incorrect answers. The calculator labels linear, square, and cubic outputs correctly.
It is the longest straight line through the prism from one vertex to the far opposite vertex. It helps in advanced 3D geometry analysis.
You can download the calculated results as CSV. You can also use the PDF button, which opens a print-ready export view for saving.