Find the lateral of the square pyramid if its height is 8m its slant is 22m and its length is 8m.
Screw math
pLeAsE HeLp mE I cAnT dO dA qUick mAtH
each face is a triangle with base 8 and altitude 22
im with cardi b
To find the lateral surface area of a square pyramid, you need to calculate the sum of the areas of the four triangular faces.
Here's how you can find the lateral surface area of the given square pyramid:
Step 1: Calculate the base area of the square pyramid.
Since the length of the square base is given to be 8m, you can calculate the area of the base using the formula: area = length^2.
So, the area of the base = 8m^2 = 64m^2.
Step 2: Calculate the slant height of the triangular faces.
The slant height is given as 22m.
Step 3: Calculate the lateral surface area of one triangular face.
The formula for the area of a triangle is: area = (1/2) * base * height.
In this case, the base of the triangle is the length of the square base (8m), and the height is the slant height (22m).
So, the area of one triangular face = (1/2) * 8m * 22m = 88m^2.
Step 4: Calculate the total lateral surface area of the square pyramid.
As a square pyramid has four triangular faces, you need to multiply the area of one triangular face by 4 to get the total lateral surface area.
So, the total lateral surface area = 4 * 88m^2 = 352m^2.
Therefore, the lateral surface area of the given square pyramid is 352m^2.