What is the volume of this cube if one side is equivalent to 4 cm?

A. [tex]$12 \, \text{cm}^3$[/tex]
B. [tex]$24 \, \text{cm}^3$[/tex]
C. [tex][tex]$48 \, \text{cm}^3$[/tex][/tex]
D. [tex]$64 \, \text{cm}^3$[/tex]



Answer :

To find the volume of a cube, you use the formula for the volume of a cube, which is:

[tex]\[ \text{Volume} = (\text{side length})^3 \][/tex]

In this particular problem, we are given that the side length of the cube is 4 cm. Plugging this value into the formula, we get:

[tex]\[ \text{Volume} = (4 \, \text{cm})^3 \][/tex]

Next, we'll calculate the value of [tex]\( 4^3 \)[/tex]:

[tex]\[ 4^3 = 4 \times 4 \times 4 \][/tex]

Multiplying these together, we get:

[tex]\[ 4 \times 4 = 16 \][/tex]

[tex]\[ 16 \times 4 = 64 \][/tex]

So, the volume of the cube is:

[tex]\[ 64 \, \text{cm}^3 \][/tex]

Therefore, the correct answer is:

D) [tex]\( 64 \, \text{cm}^3 \)[/tex]