The perimeter of either compartment is

(6 ft) + (6 ft) + (6 ft)√2 = 6(2+√2) ft

The height is 6 ft, so the area is

(6 ft)(6(2+√2) ft)

(6 ft) + (6 ft) + (6 ft)√2 = 6(2+√2) ft

The height is 6 ft, so the area is

(6 ft)(6(2+√2) ft)

**= (72 + 36√2) ft^2****≈ 122.9 ft^2**