Answer:
(c) 275 1/8 cm²
Step-by-step explanation:
You want the surface area of the prism with the given net.
The vertical stack of rectangles down the middle of the net has a height of
4 +5 3/4 +4 +5 3/4 = 19 1/2 . . . . cm
Its width is 11 3/4 cm, so the area of that is ...
A = LW = (19 1/2 cm)(11 3/4 cm) = 229 1/8 cm²
The two "flaps" on left and right are 5 3/4 cm high by 4 cm wide, so their area is ...
A = LW = (5 3/4 cm)(4 cm) × 2 = 46 cm²
The total area of the net is the sum of these areas:
229 1/8 +46 = 275 1/8 . . . . cm²
The surface area of the rectangular prism is 275 1/8 cm².