Surface area of a square pyramid

11in 13in and 9in

11 height
13 slant height
9 base edge

I keep getting the wrong answer its not 328.62 or 294.93

Square area of a cone


15 slant height
12 height
6 base

please

To find the surface area of a square pyramid, you need to calculate the area of each face and then sum them up.

First, let's find the area of the base. Since the base of the square pyramid is a square, you can use the formula for the area of a square, which is base side length squared. In this case, the base edge is given as 9 inches, so the area of the base is 9^2 = 81 square inches.

Next, let's find the area of each triangular face. The formula for the area of a triangle is 1/2 * base * height. In this case, the base of the triangular face is the same as the base edge of the pyramid, which is 9 inches. The height of the triangular face is the slant height, which is given as 13 inches. So the area of each triangular face is (1/2) * 9 * 13 = 58.5 square inches.

Since a square pyramid has 4 triangular faces, we can multiply the area of one triangular face by 4 to get the total area of all the triangular faces: 58.5 * 4 = 234 square inches.

Finally, we add the area of the base and the total area of the triangular faces to get the total surface area of the pyramid: 81 + 234 = 315 square inches.

Therefore, the correct surface area of the given square pyramid is 315 square inches.

Now let's move on to the square area of a cone.

To find the surface area of a cone, you need to calculate the area of the base and the lateral surface area (the curved surface).

First, let's find the area of the base. The base of the cone is a circle, so you can use the formula for the area of a circle, which is π * radius^2. The radius of the base is half of the diameter, which is given as 6 inches. So the area of the base is π * (6/2)^2 = π * 3^2 = 9π square inches.

Next, let's find the lateral surface area. The formula for the lateral surface area of a cone is π * radius * slant height. In this case, the slant height is given as 15 inches. The radius of the cone is the base side length divided by 2, which is given as 6/2 = 3 inches. So the lateral surface area is π * 3 * 15 = 45π square inches.

Therefore, the total surface area of the given cone is the sum of the area of the base and the lateral surface area: 9π + 45π = 54π square inches.

Note: π is a mathematical constant (approximately equal to 3.14159), so if you need to find the approximate value, you can multiply it with the value of π to get the answer.