Which has the greater surface area? A 6-centimeter cube or a rectangular prism with a 3 centimeter square base and a height of 12 centimeters?

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.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

no solution

step-by-step explanation:

there is not enough information in the problem to solve.