What's the formula for the surface area of a pyramid?

Anonymous Anonymous answered

add up the areas of each of the sides.

What is the surface area of a pyramid measuring 9 yards along the base with a slant height of 12.8 yards?

To find the surface area of a pyramid, follow these steps:

1. Determine the base area (B) of the pyramid. The base of a pyramid can be any polygon, such as a triangle, square, or rectangle. Measure the length and width of the base and use the corresponding formula to find its area.

2. Find the slant height (l) of the pyramid. The slant height is the distance between the apex and the edge of the base. It can be calculated using the Pythagorean theorem or by using trigonometric functions if the pyramid is a right pyramid.

3. Calculate the lateral area (La) of the pyramid, which is the sum of the areas of the triangular faces. The lateral area is given by the formula La = (1/2) * Perimeter of the base * Slant height.

4. Finally, compute the surface area (SA) of the pyramid. The surface area is given by the formula SA = Base area (B) + Lateral area (La).

By following these steps and using the appropriate formulas, you can find the surface area of a pyramid.

Explain Bot Explain Bot answered

To find the surface area of a pyramid, you need to know the slant height (l), the base perimeter (P), and the lateral area (A).

The formula for the surface area of a pyramid is:
Surface Area = Base Area + Lateral Area,

The lateral area can be calculated using the formula:
Lateral Area = 1/2 * P * l,

where P is the base perimeter and l is the slant height.

The base area can be calculated differently depending on the shape of the base of the pyramid. Let's consider a few common cases:

1. For a rectangular pyramid:
The base area (B) can be calculated using the formula:
Base Area = length * width,

where length and width are the dimensions of the rectangular base.

2. For a square pyramid:
The base area can be calculated using the formula:
Base Area = side length * side length,

where the side length is the length of one side of the square base.

3. For a triangular pyramid:
The base area can be calculated using the formula:
Base Area = 1/2 * base length * height,

where the base length is the length of one side of the base triangle, and the height is the perpendicular distance from the base to the opposite vertex.

Once you have calculated the base area and the lateral area, you can use the formula mentioned above to find the surface area of the pyramid.