Question

3, A cube has a volume of 12 167 cm’. Calculate: (a) the height of the cube. (b) the area of one face of the cube.​

Answer 1

A.
`V = a^(3)`

a= V^1/3 = 12167^1/3 = 23cm

The height = 23cm

B. Area of one face of the cube =
`6*S^(2)` =
`6*23^(2)` = 3174
`cm^(2)`

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.