Respuesta :
Answer:
Total Surface Area
= 384 sq ft
Step-by-step explanation:
To find Total Surface Area, add up the areas of all the sides of the shape. A square based pyramid has five sides, a square bottom and four triangular sides. Luckily all four sides are the same, so just one calculation for these.
Area of square base is given.
A = 144 sq ft
Since the base is a square the length of the side of the square is 12, because 12×12 is 144.
The side of the square base is the base of the triangular side.
Area of a triangle:
A = 1/2•b•h
A = 1/2(12)(10)
A = 60
The area of one triangular face is 60. There are four of these.
A = 4(60)
A = 240
This is the area of all the triangular faces.
Add them all up.
A (TOTAL)
= 144+240
= 384 sq ft
