Find the surface area of the triangular faces of the pyramid, given that the side length of the square base is 8 m and the height of each triangular face is 22 m.
To find the surface area of the triangular faces of the pyramid, we first need to calculate the area of one triangular face and then multiply it by the number of faces.
To calculate the area of a triangle, we can use the formula: Area = 0.5 * base * height, where the base is the length of one side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.
In this case, the base of each triangular face is the side length of the square base, which is 8 m.
The height of each triangular face is given as 22 m.
Let's calculate the area of one triangular face:
Area = 0.5 * base * height
= 0.5 * 8 m * 22 m
= 88 m²
Therefore, the area of one triangular face is 88 square meters.
Now, let's calculate the total surface area by multiplying the area of one triangular face by the number of faces.
A pyramid has 4 triangular faces, so the total surface area is:
Total Surface Area = 4 * Area of one triangular face
= 4 * 88 m²
= 352 m²
Therefore, the surface area of the triangular faces of the pyramid is 352 square meters.
To find the surface area of the triangular faces of the pyramid, we need to find the area of each triangular face and then multiply it by the number of faces.
First, let's find the area of one triangular face.
The base of each triangular face is one side of the square base of the pyramid. Given that the side length of the square base is 8 m, the base of the triangular face is also 8 m.
The height of each triangular face is given as 22 m.
The area of a triangle is given by the formula: (base * height) / 2.
Plugging in the values, we get: (8 m * 22 m) / 2 = 176 m².
Since there are four triangular faces in a pyramid with a square base, we need to multiply the area of one triangular face by 4.
Therefore, the total surface area of the triangular faces is: 4 * 176 m² = 704 m².