Answer:
Surface Area: 10.24 square feet
Explanation:
In order to find the surface area, part the figure into 5 shapes; 1 being a square, the other 4 being equivalent triangles
Now find the area of the square, provided the dimensions 0.8 by 0.8:
A = 0.8 * 0.8 = 0.64 square feet
The area of the triangles are equivalent knowing that the share similar dimensions, 0.8 feet for the base and 6 feet for the height, so let us find the area of one at first:
A = 1/2 * 0.8 * 6 = 3 * 0.8 = 2.4 square feet
This means that the area of all 4 triangles are:
A = 2.4 * 4 = 9.6 square feet
The total surface area of this pyramid would then be the sum of the area of all 5 shapes, triangles and square:
Surface Area = 9.6 + 0.64 = 10.24 square feet