Answer:
B. 360 in²
Step-by-step explanation:
Rectangle 1
length = 12 in
breadth = 12 in
Surface area = length × breadth
⇒Surface area = 12 × 12
⇒Surface area = 144 inch²
Rectangle 3 (behind)
length = 12 in
breadth = 13 in
Surface area = length × breadth
⇒Surface area = 12 × 13
⇒Surface area = 156 inch²
Rectangle 2
length = 12 in
breadth = 5 in
Surface area = length × breadth
⇒Surface area = 12 × 5
⇒Surface area = 60 inch²
Adding the 3 areas we get
144+156+60 = 360 in²
∴ 360 in² of paint is needed to cover all the rectangular faces of the prism.