Surface Area of a 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.The surface area of a prism refers to the amount of total space occupied by the flat faces of the prism.
What is the Surface Area of a Prism Calculator?
'Surface Area of a Prism Calculator' is an online tool that helps to calculate the surface area of a prism. Online Surface Area of a Prism Calculator helps you to calculate the surface area of a prism within a few seconds.
Surface Area of a Prism Calculator
NOTE: The input values are limited to three digits.
How to Use the Surface Area of a Prism Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find the surface area for the triangular and rectangular prism.
- Step 1: Enter the values in the given input boxes.
- Step 2: Click on "Calculate" to find the surface area.
- Step 3: Click on "Reset" to clear the fields and enter the new values.
How to Find the Surface Area of a Prism?
The surface area of the triangular prism is the sum of the base area and lateral faces. The surface area of a prism is the number of unit squares that can be fit into it and it is measured in square units. The surface area of a prism is calculated using the formula
The 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}
Where a,b, and c are sides of a triangle and 'B' is the triangle base, the height of the triangle is 'h', and the height of the prism is 'H'.
The surface area of a rectangular prism is the number of unit squares that can be fit into it and it is measured in square units. The surface area of a rectangular prism is calculated using the formula
The surface area of a rectangular prism = 2(lw + wh + lh)
Where 'l' is the length of the rectangular prism, 'w' is the width of the rectangular prism and 'h' is the height of the rectangular prism.
Let us now better understand the formulas to find the surface area of a prism by solving an example.
Solved Examples on Surface Area of 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 surface area of a rectangular prism whose length (l) = 8 units, width (w) = 5 units, and height (h) = 7 units?
Solution:
The surface area of the rectangular prism = 2( lw + wh + lh)
= 2( 8 × 5 + 5 × 7 + 8 × 7)
= 2(40 +35 + 56)
= 2 × 131
= 262 square units.
Similarly, you can try the surface area of a prism calculator to find the surface area for
- Find the surface area of a triangular prism having sides of a triangle 6,7 and 8 units and the triangle base is 6 units, the height of the triangle is 7 units, and the height of the prism is 9 units.
- Find the surface area of a rectangular prism whose length (l) = 9 units, width (w) = 11 units, and height (h) = 12 units
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