268 cm^2
Step-by-step explanation:
Find the SA of the purple rectangular prism:
LEFT FACE EXCLUDED
Front: (6)(2) = 12 cm^2
Back: 12 cm^2
Top: (7)(2) = 14 cm^2
Bottom: 14 cm^2
Right: (7)(6) = 42 cm^2
TOTAL: 94 cm^2
SA of the pink triangular prism:
RIGHT FACE EXCLUDED
Front: (1/2)(6)(8) = 24 cm^2
Back: 24 cm^2
Bottom: (7)(8) = 56 cm^2
Left: (10)(7) = 70 cm^2
TOTAL: 174 cm^2
Add both SAs of figures:
174 + 94 = 268 cm^2
