Surface Area of a Triangular Pyramid Calculator
Surface Area of a Triangular Pyramid Calculator' is an online tool that helps to calculate the surface area of a triangular pyramid. The total surface area of a triangular pyramid is calculated with the formula, Total Surface area of a Triangular Pyramid = Base Area + 1/2 (Perimeter of the base × Slant Height); where 'slant height' is the distance from its triangular face along the center of the face to the apex.
What is Surface Area of a Triangular Pyramid Calculator?
Online Surface Area of a Triangular Pyramid Calculator helps you to calculate the surface area of a triangular pyramid within a few seconds. Four triangles form a triangular pyramid. Triangular pyramids are regular, irregular, and right-angled. The tetrahedron is a triangular pyramid with equilateral triangles on each face.
Surface Area of a Triangular Pyramid Calculator
How to Use Surface Area of a Triangular Pyramid Calculator?
Please follow the below steps to find the surface area of a triangular pyramid:
- Step1: Enter the apothem length of the base triangle in the given input box.
- Step 2: Enter the base side of the triangle pyramid
- Step 3: Enter the slant height of the triangular prism in the given input box.
- Step 4: Click on the "Calculate" button to find the surface area of a triangular pyramid.
- Step 5: Click on the "Reset" button to clear the fields and find the surface area of a triangular pyramid for different values.
How to Find Surface Area of a Triangular Pyramid?
A triangular pyramid is defined as a three-dimensional shape having all faces as triangles. A triangular pyramid is a pyramid with a triangular base and bounded by four triangular faces where 3 faces meet at one vertex. The surface area of a triangular pyramid is calculated by using the formula:
Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h), where 'a' is apothem length of the base triangle, 'b' is the base side of the triangle pyramid, and 'h' is the slant height of the triangular prism.
Solved Examples on Surface Area of a Triangular Pyramid Calculator
Example 1:
Find the surface area of a triangular pyramid whose apothem length of the base triangle is 5 units, base side of the triangle pyramid is 6 units, and slant height of the triangular prism is 8 units.
Solution:
Given: a = 5 units, b = 6 units, and h = 8 units
Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h)
= 1/2(5 × 6) + 3/2(6 × 8)
= 15 + 72
= 87 square units
Therefore, the Surface Area of a Triangular Pyramid is 87 square units
Example 2:
Find the surface area of a triangular pyramid whose apothem length of the base triangle is 7 units, base side of the triangle pyramid is 8 units, and slant height of the triangular prism is 10 units.
Solution:
Given: a = 7 units, b = 8 units, and h = 10 units
Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h)
= 1/2(7 × 8) + 3/2(8 × 10)
= 28 + 120
= 148 square units
Therefore, the Surface Area of a Triangular Pyramid is 148 square units
Similarly, you can try the Surface Area of a Triangular Pyramid Calculator to find the surface area of a triangular pyramid
1) Apothem length = 6 units, base side = 8 units, and slant height = 14 units.
2) Apothem length = 6 units, base side = 11 units, and slant height = 12 units.