Answer:
528 in.²
Explanation:
Surface area of the figure = (surface area of the smaller rectangular prism + surface area of the bigger prism) - area of 1 of the base of the smaller rectangular prism
✔️Surface area of the bigger rectangular prism = 2(WL + HL + HW)
= 2(10*12 + 5*12 + 5*10) = 2(120 + 60 + 50)
= 2(230)
Surface area of bigger rectangular prism = 460 in.²
✔️Surface area of the smaller rectangular prism = 2(WL + HL + HW)
= 2(2*2 + 8*2 + 8*2) = 2(4 + 16 + 16)
= 2(36)
Surface area of smaller rectangular prism = 72 in.²
✔️area of 1 of the base of the smaller rectangular prism = L*W = 2*2 = 4 in.²
✅Surface area of the figure = (460 + 72) - 4
= 532 - 4
= 528 in.²