Table of Contents

- 1 How do you find the slant height of a regular pyramid?
- 2 Which formula can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to P?
- 3 How do you find the slant height and surface area of a cone?
- 4 Which of the following formulas would find the surface area of a right cone where S?
- 5 How to calculate the lateral surface area of a pyramid?
- 6 How is the volume of a pyramid calculated?

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

The slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the Pythagorean Theorem.

**How do you find the surface area of a square pyramid with slant height and base?**

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

### Which formula can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to P?

The total surface area of a pyramid is obtained by adding the areas of all its faces (both the base and the side faces). The total surface area of a pyramid whose base perimeter is ‘P’, the base area is ‘B’, and slant height is ‘s’ is TSA = (1/2) Ps + B.

**Are height and slant height the same?**

The vertical height (or altitude) which is the perpendicular distance from the top down to the base. The slant height which is the distance from the top, down the side, to a point on the base circumference.

#### How do you find the slant height and surface area of a cone?

Slant height of a cone: s = √(r2 + h2)

**How do you find the base length of a square pyramid?**

To find the length of one side of the square base, you must know the height and the volume of the pyramid. To get the length, multiply the volume by three, divide that by the height, and then take that number and find its square root.

## Which of the following formulas would find the surface area of a right cone where S?

The formula for the total surface area of a right cone is T. S. A=πrl+πr2 .

**How can you find slant height of a cone if you know radius and height of a cone?**

The cone height formula using slant height is √l2 – r2, where l is the slant height and r is the radius of the cone. This formula is derived using the Pythagoras theorem.

### How to calculate the lateral surface area of a pyramid?

1. Calculate the lateral surface area of a regular pyramid with a triangular base if each edge of the base measures 8 inches and the slant height is 5 inches. Solution: As we know, the formula for the lateral surface area of a regular pyramid is ½ pl, where ‘p’ is the perimeter of the base and ‘l’ is the slant height of the pyramid. 2.

**How to calculate slant height of a pyramid?**

Regular pyramid slant height can calculated using this LSA of Regular Pyramid formula with the known input values of lateral edge and length of the base by substituting the values in the formula.

#### How is the volume of a pyramid calculated?

The pyramid volume formula is derived by one-third of the product of the area of the base to its height. Where ‘a’ in the formula represents the length of the sides of a square. Where V is the volume, a is the apothem length of the pentagonal pyramid, b is the base length of the pentagonal pyramid and h is the height of the pentagonal pyramid

**Is the base of a pyramid polygonal or regular?**

If base of a Pyramid is found to be polygonal shape means then such pyramid is called as Regular pyramid. Shape of the base decides the type of the pyramid. This Lateral Surface Area of a Regular Pyramid using slant height formula in this page is used to determine the LSA of Regular Pyramid.