Triangular Prism Calculator
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. A triangular prism is defined as a three-dimensional shape, having its bases as triangles.
What is a Triangular Prism Calculator?
'Triangular Prism Calculator' is an online tool that helps to calculate the surface area and volume of a triangular prism. Online Triangular Prism Calculator helps you to calculate the surface area and volume of a triangular prism within a few seconds.
Triangular Prism Calculator
NOTE: The input values are limited to three digits.
How to Use the Triangular Prism Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down to find the surface area or volume of a triangular prism.
- Step 2: Enter the values in the given input boxes.
- Step 3: Click on "Calculate" to find the surface area and volume of a triangular prism.
- Step 4: Click on "Reset" to clear the fields and enter the new values.
How to Find the Triangular Prism Calculator?
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 × (1/2 × B × h)} + {(a + b + c) × H}/
= (B × h) + {(a + b + c) × H}
The volume of the triangular prism is defined as the capacity of the triangular prism or the measure of the amount of space it occupies and it is measured in cubic units. The volume of the triangular prism whose base length is 'B', and the height of the triangle is 'h', and 'l' is the distance between the bases or height of the triangles of the prism is calculated by the following formula:
The volume of triangular prism = Base Area × height of the prism = 1/2 × (B × h) × l
Let us now better understand the formulas to find the surface area and volume of a triangular prism by solving an example.
Solved Examples on Triangular Prism Calculator
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Example1:
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
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Example2:
Find the volume of the triangular prism whose base length is 5 units, the height of a triangle is 6 units, and the height of the prism is 7 units?
Solution:
Given: l = 7 units, b = 5 units, and h = 6 units
The volume of triangular prism = Base Area × height of the prism = 1/2 × (b × h) × l
= 1/2 × (5 × 6) × 7
= 105 cubic units
Similarly, you can try the calculator to
- Find the surface area of a triangular prism if the sides of a triangle 4,5 and 6 units, the triangle base is 7 units, the height of the triangle is 8 units, and the height of the prism is 9 units.
- Find the volume of a triangular prism if the base length is 6 units, the height of a triangle is 8 units, and the height of the prism is 10 units
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