Use a formula to find the surface area of the square pyramid. 6ft hight 3ft and 3 ft for the base

Help ASAP

Answers:

1. A 45ft^2
2. B 352m^2
3. D 138in^2
4. A 1,319cm^2

The guy who smiles is 100%, correct

Which one is it

can y'all answer correctly? gahlee

A 45ft^2

B81ft^2
C 36 ft^2
D 72ft ^2

each triangular face is a triangle with base 3 and slant height √(1.5^2+6^2) = 6.18

So, the total area is the base + 4 faces

A

B
D
A

To find the surface area of a square pyramid, you need to calculate the sum of the areas of its base and its four triangular faces.

First, let's calculate the area of the base of the square pyramid. Since it is a square, the area can be found by multiplying the length of one side by itself. In this case, the length of one side is 3ft, so the formula for the area of the base is:
Base Area = 3ft * 3ft = 9ft^2

Next, we need to find the area of each triangular face. The formula for the area of a triangle is (base * height) / 2. In this case, the base of each triangular face is one side of the square base, which is 3ft. The height of each triangular face is the height of the pyramid, which is 6ft.

Triangle Area = (3ft * 6ft) / 2 = 9ft^2

Since there are four triangular faces, we need to multiply this area by 4 to get the total area of all four triangular faces:
Total Triangle Area = 4 * 9ft^2 = 36ft^2

Finally, to find the surface area of the square pyramid, we add the area of the base and the total area of the triangular faces together:
Surface Area = Base Area + Total Triangle Area = 9ft^2 + 36ft^2 = 45ft^2

Therefore, the surface area of the square pyramid with a 6 ft height and a 3 ft by 3 ft base is 45 square feet.