# How do you find the slant height of a square pyramid?

Table of Contents

## How do you find the slant height of a square pyramid?

Slant Height of a square pyramid:

- By the pythagorean theorem we know that.
- s2 = r2 + h.
- since r = a/2.
- s2 = (1/4)a2 + h2, and.
- s = √(h2 + (1/4)a2)
- This is also the height of a triangle side.

## How do you find the lateral area and surface area of a square pyramid?

To find the lateral area of a square pyramid, find the area of one side face (triangle) and multiply it by 4. If a and l are the base length and the slant height of a square pyramid, then lateral area of the square pyramid = 4 (½ × a × l) = 2al.

**What is the formula to find slant height?**

The slant height can be calculated using the formula a^2 + b^2 = c^2. In the formula, a is the altitude, b is the distance from the center of the base to the point where the slant height segment starts, and c stands for the slant height.

**How do you find the sloping edge of a pyramid?**

To solve for slant height, you can understand slant height as one line in a right triangle inside the pyramid. The triangle’s other two lines will be the height from the center of the pyramid to its apex, and a line half the length of one of the pyramid’s sides that connects the center to the bottom of the slant.

### What is the lateral surface area of a square?

The lateral surface area of a square prism is the area covered by the lateral or side faces of the square prism. The lateral surface area can be calculated using the given formula, LSA of square prism = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

### How do you find the lateral area?

Lateral indicates the side of something. Therefore, lateral surface area is found by finding the surface area of the sides of the object. This is done by finding the perimeter of the base and multiplying it by the height of any three-dimensional figure.