Answer:
A is smaller.
Step-by-step explanation:
SAc of cylindrical container:
Diameter of base: 60 mm
Radius of base: 30 mm
Height of cylinder: 240 mm
SAc = lateral area + area of two bases
SAc = (pi)dh + 2(pi)r^2
SAc = (pi)(60 mm)(240 mm) + 2(pi)(30 mm)^2
SAc = 14,400(pi) mm^2 + 1,800(pi) mm^2
SAc = 16,200(pi) mm^2 which approximately equal to 50,868 mm^2
SAp of prism:
Rectangular prism with L = 120 mm, W = 120 mm, H = 0 mm
SAp = 2(LW + LH + WH)
SAp = 2(120 mm * 120 mm + 120 mm * 60 mm + 120 mm * 60 mm)
SAp = 2(14,400 mm^2 + 7,200 mm^2 + 7200 mm^2)
SAp = 2(28,800 mm^2)
SAp = 57,600 mm^2
The total surface are of the prism is greater than the total surface area of the cylinder.
