Answer:
A. [tex]V = a^{3}[/tex]
a= V^1/3 = 12167^1/3 = 23cm
The height = 23cm
B. Area of one face of the cube = [tex]6*S^{2}[/tex] = [tex]6*23^{2}[/tex] = 3174[tex]cm^{2}[/tex]
Step-by-step explanation:
A. To find the height of the cube, I used the cube root of the given volume, since the volume of a cube is equal to the cube root of its length/height
B. To find the area of one side of the cube, I sustitute S for the side length/height of the cube, which is 23cm. Then I multiplying the length of the cube's side by its width to find its area, since the length and width of a cube's side is the same.
