The bottom rectangular box has a
floor: 10 in x 12 in =
left-side: 10 in x 12 in =
right-side: 10 in x 12 in =
front: 10 in x 10 in =
back: 10 in x 10 in =
The top triangular region has a
left-triangular-section: ½ x 12 in x 5 in =
right-triangular-section: ½ x 12 in x 5 in =
back: 5 in x 10 in =
slant-side: 13 in x 10 in =
Calculate these area and sum them ...