Triangular Prism Surface Area Calculator


What is a Triangular Prism Surface Area Calculator?

'Cuemath's Triangular Prism Surface Calculator' is an online tool that calculates the surface area of a triangular prism with the given dimensions. Input the side of the base triangle and the height of the prism to solve your calculations within a few seconds. 

NOTE: The input values are limited to two digits.

How to Use the Triangular Prism Surface Area Calculator?

Follow these steps which will help you to use the calculator.

  • Step 1: Enter the values of the side of the triangle, triangle base, the height of the triangle, and the height of the prism.
  • Step 2: Click on "Calculate" to find the surface area of the triangular prism.
  • Step 3: Click on "Reset" to clear the field and enter the new values.

How to Find the Surface Area of a Triangular Prism?

A prism is defined as a 3-dimensional solid object which has identical ends, flat faces, and the same cross-section all along its length.The surface area of the triangular prism is the sum of the base area and lateral faces. let a,b, and c are sides of a triangle and triangle base be 'b', the height of triangle be 'h' and height of prism be 'H'.                            

Surface area of the triangular Prism = (2 × base area of a triangle) + (perimeter of the base × height of the prism)

= {2 × (½  × b  × h)} + {(a + b + c)  × H}

= (b × h) + {(a + b + c)  × H}

Let us now better understand the formula to find the surface area of a triangular prism, by solving an example.

Solved Example:

Find the surface area of a triangular prism having sides of a triangle 2,3 and 4 units and the triangle base is 5 units, the height of the triangle is 6 units, and the height of the prism is 7 units.                         

Solution: 

Surface area of the triangular prism = (2 × base area of a triangle) + (perimeter of the base × height of the prism)

= {2 × (½  × b  × h)} + {(a + b + c)  × H}

= (b × h) + {(a + b + c)  × H}

= (5 × 6) + {(2 + 3 + 4)  × 7}

= 30 + {9 × 7}

= 30 + 63

= 93 square units

Therefore the surface area of a triangular prism is 93 square units.

Now, try the calculator to find the surface area of the following triangular prisms.

1) sides of a triangle 4,5 and 6units, the triangle base is 7 units, the height of the triangle is 8 units, and the height of the prism is 9 units.                         

2) sides of a triangle 3,5 and 7units and the triangle base is 5 units, the height of the triangle is 8 units, and the height of the prism is 11 units.                         

Related Links: