Answer:
The answer to your question is Superficial area = 144 + 36√3
Step-by-step explanation:
Process
1.- Calculate the area of the base
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 12² - 6²
h² = 144 - 36
h² = 108
h = √108
108 2
54 2
27 3
9 3
3 3
1
h = 6√3
Area = 12 x 6√3/2
Area = 36√3 u²
2.- Calculate the area of the superficial 3 triangles
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = 8
Area = 12 x 8/2
Area = 48 u²
Total area = 3(48) + 36√3
= 144 + 36√3
