2 in. Find the surface
area of this figure.
2 in.
8 in.
[?] square inches
8 in.
5 in.
12 in.
10 in.
Can anyone help me with this?

528 in.²

Step-by-step 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