9514 1404 393
Answer:
113.57 square units
Step-by-step explanation:
The area of each of the 6 triangular faces is ...
A = 1/2bh
A = (1/2)(4)(6) = 12 . . . . square units
The area of the base is ...
A = (3√3)/2·s² . . . . . . for side length s
A = (3√3)/2×4² = 24√3 . . . . square units
Then the total area is ...
total area = base area + face area
= 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units
