What is the surface area of a figure that has a height of 20 ft a base of 12 ft one side is 8 ft another side is 8 ft one side is 15 ft and another side is 8 ft

Answer 1

To calculate the surface area of this figure, we need to add together the areas of each of the individual faces.

First, let's calculate the area of the two triangular faces:
Area of triangle = 1/2 * base * height

1st triangle:
1/2 * 12 ft * 20 ft = 120 sq. ft

2nd triangle:
1/2 * 15 ft * 8 ft = 60 sq. ft

Now, let's calculate the area of the two rectangular faces:
Area of rectangle = length * width

1st rectangle:
8 ft * 20 ft = 160 sq. ft

2nd rectangle:
8 ft * 12 ft = 96 sq. ft

Finally, add together the areas of all four faces to get the total surface area:
120 sq. ft + 60 sq. ft + 160 sq. ft + 96 sq. ft = 436 sq. ft

Therefore, the surface area of the figure is 436 square feet.