Question

Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 1\2
centimeters, what is the volume of her cube? Show your work. Make sure that you include the correct unit of measure in your answer.

Answer 1

Answer:

The volume of her cube is $15\,\frac{5}{8}$ cubic centimeters.

Step-by-step explanation:

The side length of the cube is $2\,\frac{1}{2}\,cm$, we proceed to convert this value into an entirely rational form:

$s = 2\,\frac{1}{2}\,cm$

$s = \left(\frac{4}{2}+\frac{1}{2} \right)\,cm$

$s = \left(\frac{4+1}{2} \right)\,cm$

$s = \frac{5}{2}\,cm$

The volume of the cube ($V$), measured in cubic centimeters, is determined by the following expression:

$V = s^{3}$ (1)

If we know that $s = \frac{5}{2}\,cm$, then the volume of the cube is:

$V = \left(\frac{5}{2}\,cm \right)^{3}$

$V = \frac{125}{8}\,cm^{3}$

$V = \left(\frac{120}{8}+\frac{5}{8}\right)\,cm^{3}$

$V = 15\,\frac{5}{8}\,cm^{3}$

The volume of her cube is $15\,\frac{5}{8}$ cubic centimeters.