363 inch²
Explanation:
Each vertical face is a rectangle.
Area of each face = length x breadth
= 8 x 6 inch² = 48 inch²
There are 5 such faces, total area = 5 tiimes of 48 inch² = 240 inch²
For horizontal faces:
Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). With base 6 inch & height 4.1 inch.
For 2 such faces, you have 2 x 5 times of area of 1 ∆.
Area of 10∆s = 10 ( ½ x 4.1 x 6) = 123 inch²
Total area = area of horizontal surfaces + area of vertical surfaces
Total area = 240 + 123 inch² = 363 inch²