Question

Eugenia has a small cube-shaped box. Its volume is 27 cubic centimeters. What is the area of one face of the box? * O 3 cm O 6 cm O 9 cm O 12 cm

Answer 1

Option C - 9 square centimetres

Step-by-step explanation

The volume of the cube is given as 27 cubic centimeters.

First, we have to find the length of the sides of the cube.

To do this, we use the formula for the volume of a cube:

`V=l^3`

where l = length of side of the cube

Therefore:

`\begin{gathered} 27=l^3 \\ \Rightarrow\text{ l = }√(27) \\ l\text{ = 3 cm} \end{gathered}`

The area of a face of the cube is given as:

`A=l^2`

Therefore:

`\begin{gathered} A=3^2 \\ A\text{ = 9 square centimetres} \end{gathered}`