Surface Area of a Pyramid - Lateral Area - Geometry

TL;DR

Learn how to find the total surface area of a square based pyramid by calculating the area of the base and the lateral area.

Transcript

in this lesson we're going to talk about how to calculate the surface area of a square based pyramid so how can we calculate the surface area of this pyramid we're going to say this is 10 that's 10 and the height of the pyramid that's going to be 12 units long so with this information calculate the total surface area of the pyramid so we need to ca... Read More

Key Insights

• ⚾ The surface area of a square based pyramid is determined by calculating the area of the base and the lateral area.
• 🔺 The slant height of the triangles in the pyramid can be found using the Pythagorean theorem.
• ⚾ The area of each triangle in the lateral area is half the product of the base and the height.

Summary & Key Takeaways

• To calculate the surface area of a square based pyramid, calculate the area of the base (squared side length) and the lateral area (sum of the areas of the four triangles).

• Use the Pythagorean theorem to find the slant height of the triangles formed by the sides and the height of the pyramid.

• The area of each triangle is half the product of the base and the height.

• Add the area of the base and the lateral area to find the total surface area of the pyramid.