Step-by-step explanation:
Given : The formula for the surface area of a cube is [tex]SA=6s^2[/tex], where s is the length of one side of the cube if [tex]s=\frac{1}{4}[/tex] of a unit.
To find : What is the surface area, in square units, of the cube?
Solution :
The formula for the surface area of a cube is [tex]SA=6s^2[/tex]
We have given, [tex]s=\frac{1}{4}[/tex]
Substitute in the formula,
[tex]SA=6(\frac{1}{4})^2[/tex]
[tex]SA=6\times \frac{1}{16}[/tex]
[tex]SA= \frac{3}{8}[/tex]
[tex]SA=0.375[/tex] square units.
Therefore, the surface area of the cube is 0.375 square units.