Practice Problems on Triangular Pyramid Formula

Q1. Given a triangular pyramid with a base area of 15 square units and a height of 10 units, what is the volume of the pyramid?

Q2. Given a regular triangular pyramid with each edge of the equilateral triangular base measuring 6 units, what is the total surface area of the pyramid?

Q3. Given a regular triangular pyramid with each edge of the equilateral triangular base measuring 4 units and a height of 5 units, what are the volume and total surface area of the pyramid?

Q4. If the side lengths of the base of a triangular pyramid are 3 units, 4 units, and 5 units, and the height of the pyramid is 12 units, what is the volume of the pyramid?

Q5. For a triangular pyramid with a base in the shape of a right triangle with legs of 3 units and 4 units, and hypotenuse of 5 units, what is the total surface area if the height of the pyramid from the base to the apex is 10 units?

Triangular Pyramid Formula

Volume of a triangular pyramid is found using the formula V = 1/3A.H. A triangular pyramid, also known as a tetrahedron, is a type of pyramid with a triangular base and three triangular faces that meet at a single point called the apex.

In this article, we will learn about, Pyramid Definition, Triangular Pyramid Definition, Triangular Pyramid Formula, Examples and others in detail.

Table of Content

  • What is a Pyramid?
  • Triangular Pyramid Definition
  • Triangular Pyramid Formula
  • Surface Area of a Triangular Pyramid
  • Volume of a Triangular Pyramid

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What is a Pyramid?

A pyramid is classified into various kinds based on the shape of the base, such as a triangular pyramid, a square pyramid, a pentagonal pyramid, a hexagonal pyramid, etc. An apex is a meeting point of the lateral surfaces or the side faces of a pyramid. The perpendicular distance from the apex of a pyramid to the centre of its base is the height or altitude of a pyramid. The perpendicular distance between the apex and the base of a lateral surface slant height of a pyramid....

Triangular Pyramid Definition

Triangular Pyramid is a pyramid that has a triangle as its base. It is also known as a tetrahedron and has three triangular-shaped faces and one triangular base, where the triangular base can be scalar, isosceles, or an equilateral triangle. A triangular is further classified into three types i.e., a regular triangular pyramid, an irregular triangular pyramid, and a right triangular pyramid....

Triangular Pyramid Formula

There are two formulas for a triangular pyramid: the surface area of a triangular pyramid and the volume of a triangular pyramid....

Surface Area of a Triangular Pyramid

Surface area of a pyramid has two types of surface areas, namely: the lateral surface area and the total surface area, where the surface area of a pyramid is the sum of the areas of the lateral surfaces, or side faces, and the base area of a pyramid....

Volume of a Triangular Pyramid

Volume of a pyramid is the total space enclosed between all the faces of a pyramid. The volume of a pyramid is generally represented by the letter “V”, and its formula is equal to one-third of the product of the base area and the height of the pyramid....

Examples on Triangular Pyramid Formula

Example 1: Determine the volume of a triangular pyramid whose base area and height are 50 cm2 and 12 cm, respectively....

Practice Problems on Triangular Pyramid Formula

Q1. Given a triangular pyramid with a base area of 15 square units and a height of 10 units, what is the volume of the pyramid?...

FAQs on Triangular Pyramid Formula

What is Definition of a Triangular Pyramid?...

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