Answer:
268 cm^2
Step-by-step explanation:
Pink prism:
top: 2 cm * 2 cm = 4 cm^2
right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2
bottom: completely covered in connection to green prism
Total surface area of pink: 52 cm^2
Green prism:
bottom: 10 cm * 5 cm = 50 cm^2
front, back: 2 * 10 cm * 4 cm = 80 cm^2
right, left: 2 * 5 cm * 4 cm = 40 cm^2
top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2
Total surface area of green: 216 cm^2
Total surface area of composite solid:
52 cm^2 + 216 cm^2 = 268 cm^2
