To determine the height of the cube on the picture, you have to use the formula of the volume:
[tex]V=w\cdot l\cdot h[/tex]
Where
V represents the volume
w represents the width
l represents the length
h represents the height
The first step is to write the formula for h, to do so, you have to divide the volume by the product of the width and length:
[tex]h=\frac{V}{wl}[/tex]
We know that the volume of the cube is 512 in³, its length is l=8 in and the width is w=8in, then:
[tex]\begin{gathered} h=\frac{512}{8\cdot8} \\ h=\frac{512}{64} \\ h=8 \end{gathered}[/tex]
The height of the cube is 8in
