Answer:
The prism
Step-by-step explanation:
The surface area of a cube is:
[tex]A=6L^2[/tex]
where
L is the length of the side
For the cube in this problem,
L = 6 cm
So the surface area of the cube is
[tex]A=6\cdot 6^2 = 36 cm^2[/tex]
The surface area of a rectangular prism with squared base is:
[tex]A=2L^2+4Lh[/tex]
where
L is the length of the base
h is the height of the prism
For the prism in this problem,
L = 3 cm
h = 12 cm
Therefore,
[tex]A=2\cdot 3^2 + 4(3)(12)=162 cm^2[/tex]
So, the prism has a greater surface area.
