# Aleka has a box for keepsakes that has a volume of 576 cubic inches the length of the box is 12 inches

4 answers

###### Question:

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

## Answers

The formula for volume is V=l*w*h

So we can plug in what we have and solve for h

576=12*8*x

576=96x

x=6 inches

Hope this helps

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 :-

[tex]\text{Volume}=length*width*height[/tex]

Let h be the height of the box.

Then, we have

[tex]576=12*8*h\\\\\Rightarrow\ h=\frac{576}{96}\\\\\Rightarrow\ h=6[/tex]

Hence, the height of the box = 6 inches.

The height of the box is 6

We know that

volume of the box=length*width*height

V=L*W*H> H=V/[L*W]

V=576 in³

L=12 in

W=8 in

so

H=576/[12*8]> H=6 in

the answer is

the height of the box is 6 in

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