Answer: Surface area = 392 in²
Explanation:
It is divided into different sections as shown in the attached photo to aid explanation.
Looking at the attached photo
Area of A = 6 × 6 = 36 in²
Area of B = 4 × 10 = 40 in²
Area of the face containing A and B = 36 + 40 = 76 in²
Since the face is the same on the opposite end,
Area of the opposite end of AB = 76 in²
Area o C = 6 × 4 = 24 in²
Area of D = 6 × 6 = 36 in²
Area of E = 6 × 6 = 36 in²
Area of F = 6 × 4 = 24 in²
Area of base G = 10 × 6 = 60 in²
Area of back H = 6 × 10 = 60 in²
The surface area is the sum of all the faces of the given solid.
Therefore,
Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches