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
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.