Chapter 12.2, Problem 33HP

To determine

The change in the volume of the box if length, width and height of the box doubles.

Answer to Problem 33HP

If length, width and height of the box doubles; volume of the box is also gets doubles.

Explanation of Solution

Explantion:

Know that:

The volume of the box is given by the following expression:

  $V=l\times w\times h$.... (1)

Where,

Length of box: $l$

Width of box: $w$

Height of box: $h$

Here, the problem states that the length, width and height of the box doubles then the volume changes or not.

From the above realtion shown by the eq. (1):

The volume of the box is directly proportional to its dimensions that means length, width and height of the box.

  $V\propto \left(l,w,h\right)$

So, if there is change in the dimensions; changes will occur in the volume.

Hence, if length, width and height of the box doubles, the volume of the box also gets doubles.

Conclusion:

Hence, the volume of the chocolate bar is $2.055i{n}^3$