Question

Which has the greater surface area a 6 cmeter cube or a rectangular prism with a 3 cmeter square base and height of 12 cmeters

Answer 1

the prism

Step-by-step explanation:

The surface area of a cube is:

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

The surface area of a rectangular prism with squared base is:

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,

So, the prism has a greater surface area.