How do you find the lateral and surface area of a pyramid?
How do you find the lateral and surface area of a pyramid?
How Do You Find the Lateral 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 lateral surface area formula?
The lateral surface area of sphere is expressed as LSA = 2πrh or 4πr2 (If a diameter of sphere = 2r). Where r is the radius of a sphere, h is the height of the sphere, and π (pi) is a constant term with a value of 3.14 or 22/7.
What is the lateral area of the pyramid?
The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.
How do you calculate the surface area of a triangular pyramid?
The surface area of a regular triangular pyramid can be calculated by the slant height and perimeter values. To calculate the surface area this way, find the perimeter of the base triangle by adding together the length of its sides. Multiply this value by the pyramid slant height, then multiply that product by 1/2.
What is the formula for the surface area of a triangular pyramid?
To find the surface area, use this pyramid surface area formula: Surface Area = ( .5 x Base Perimeter x S ) + Base Area. S = Slant length of one of the triangular faces.
How do you find the volume of a triangular pyramid?
The volume of a triangular pyramid can be found by multiplying the area of its base by the pyramid’s height, or perpendicular distance from the base to the vertex, and by using the apothem , which is a perpendicular line from the center of the pyramid’s base to the middle of one of the base’s sides.
What is the volume of a regular triangular pyramid?
The volume of a triangular pyramid is 640 in 3. If the edge of the equilateral triangle base is 16 in, find the height of the pyramid.
https://www.youtube.com/watch?v=1ZTQLml_17M