# A cube has sides of 11.4 cm. What is its volume?

Nov 14, 2016

$1481.544 {\text{cm}}^{3}$

#### Explanation:

The volume $V$ of a box with length $l$, width $w$, and height $h$ is given by $V = l w h$. A cube is a box whose length, width, and height are equal that is, $l = w = h$.

In the given case, then, we have the volume as

$V = l w h = \left(11.4 \text{cm")(11.4"cm")(11.4"cm}\right)$

$= {\left(11.4 \text{cm}\right)}^{3}$

$= {11.4}^{3} {\text{cm}}^{3}$

$= 1481.544 {\text{cm}}^{3}$