Triangular Prism Calculator (Volume & Surface Area)
Triangular Prism Calculator (Volume & Surface Area)
A triangular prism is a solid with a triangular cross-section extruded (pushed straight through) along its length - camping tents and Toblerone bars are everyday examples. This calculator assumes a right-triangle cross-section, defined by its two legs (base and height). Enter the base, triangle height, and the prism's length (in whatever unit you like), and this calculator finds the volume and total surface area, along with a diagram and the full step-by-step working.
- V = (½ × base × height) × length, so a 3-4 right-triangle cross-section (area = ½ × 3 × 4 = 6) extruded 10 units has a volume of 6 × 10 = 60 cubic units.
- The hypotenuse of the triangle is √(base² + height²) - for legs 3 and 4, that's the classic 3-4-5 triangle, giving a hypotenuse of exactly 5.
- SA = 2 × (triangle area) + (perimeter × length), the two triangular ends plus the three rectangular side faces - for a 3-4-5 triangle extruded 10 units, that's 2 × 6 + 12 × 10 = 132 square units.
How do I find the volume of a triangular prism?
Multiply the triangular cross-section's area by the prism's length: V = (½ × base × height) × length. For a 3-4 right triangle extruded 10 units: V = (½ × 3 × 4) × 10 = 60.
How do I find the surface area of a triangular prism?
Add the two triangular end areas to the three rectangular side areas: SA = 2 × Area + Perimeter × length. For a 3-4-5 triangle extruded 10 units: SA = 2 × 6 + 12 × 10 = 132.
Triangular Prism Calculator (Volume & Surface Area)
A triangular prism is a solid with a triangular cross-section extruded (pushed straight through) along its length - camping tents and Toblerone bars are everyday examples. This calculator assumes a right-triangle cross-section, defined by its two legs (base and height). Enter the base, triangle height, and the prism's length (in whatever unit you like), and this calculator finds the volume and total surface area, along with a diagram and the full step-by-step working.
- V = (½ × base × height) × length, so a 3-4 right-triangle cross-section (area = ½ × 3 × 4 = 6) extruded 10 units has a volume of 6 × 10 = 60 cubic units.
- The hypotenuse of the triangle is √(base² + height²) - for legs 3 and 4, that's the classic 3-4-5 triangle, giving a hypotenuse of exactly 5.
- SA = 2 × (triangle area) + (perimeter × length), the two triangular ends plus the three rectangular side faces - for a 3-4-5 triangle extruded 10 units, that's 2 × 6 + 12 × 10 = 132 square units.
How do I find the volume of a triangular prism?
Multiply the triangular cross-section's area by the prism's length: V = (½ × base × height) × length. For a 3-4 right triangle extruded 10 units: V = (½ × 3 × 4) × 10 = 60.
How do I find the surface area of a triangular prism?
Add the two triangular end areas to the three rectangular side areas: SA = 2 × Area + Perimeter × length. For a 3-4-5 triangle extruded 10 units: SA = 2 × 6 + 12 × 10 = 132.