Question

Find the height of the figure below with the given volume .h= _ in ( Simplify your answer.)

Answer 1

To determine the height of the cube on the picture, you have to use the formula of the volume:

`V=w\cdot l\cdot h`

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:

`h=(V)/(wl)`

We know that the volume of the cube is 512 in³, its length is l=8 in and the width is w=8in, then:

`\begin{gathered} h=(512)/(8\cdot8) \\ h=(512)/(64) \\ h=8 \end{gathered}`

The height of the cube is 8in