How Do You Find the Lateral Surface Area and Total Surface Area of a Square Pyramid? If a and l are the base length and the slant height of a square pyramid, then the area of one of the 4 triangular side faces is, ½ × a × l. What Is the Area of One of the Triangular Faces of a Square Pyramid? If h is the height of the pyramid, then the lateral area = 2a√. 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. To find the lateral area of a square pyramid, find the area of one side face (triangle) and multiply it by 4. How Do You Find the Lateral Surface Area of a Square Pyramid? If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the lateral area of the square pyramid = 2al (or) 2a√. The lateral area of a square pyramid is the sum of the areas of all its 4 triangular side faces. Thus, the formula of lateral area of a square pyramid can be written as 2a = a√(a 2 + 4h 2).įAQs on Lateral Area of a Square Pyramid What Is the Lateral Area of the Square Pyramid? The lateral area of a square pyramid = 2al = 2a√ Then by applying Pythagoras theorem (you can refer to the below figure), What if we are given the height of the pyramid instead of giving the slant height? Let us assume that the height of the pyramid (altitude) be 'h'. Thus, the lateral area of a square pyramid = 2al So the sum of areas of all 4 triangular faces is, 4 ( ½ al) = 2 al. So the area of each such triangular face is 1/2 × a × l. i.e., the base and height of each of the 4 triangular faces are 'a' and 'l' respectively. Let us consider a square pyramid whose base's length (square's side length) is 'a' and the height of each side face (triangle) is 'l' (this is also known as the slant height).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |