Aleka has a box for keepsakes that has a volume of 576 cubic inches the length of the box is 12 inches and the width is 8 inches what is the height of the box

Verified Answer :

The formula for volume is V=lwh

So we can plug in what we have and solve for h
576=128x
576=96x
x=6 inches

Hope this helps

Answer: 6 inches

Step-by-step explanation:

Given: The volume of a box = 576 cubic inches

The length of the box = 12 inches

The width = 8 inches

We know that the volume of cuboidal box is given by :-

\(\text{Volume}=length*width*height\)

Let h be the height of the box.

Then, we have

\(576=12*8*h\\\\\Rightarrow\ h=\frac{576}{96}\\\\\Rightarrow\ h=6\)

Hence, the height of the box = 6 inches.