A rectangular box has its length and width doubled and its height tripled. The volume of the new box will be

volume of the new box = 12 x volume of the initial rectangular box

Step-by-step explanation:

Let the length, width and height of the rectangle be represented by l, w and h respectively.

The volume of a rectangle is given as;

volume = l x w x h

             = lwh

From the given question, the dimension of the rectangle are:

new length = l + l = 2l

new width = w + w = 2w

new height = h + h + h = 3h

So that, the volume of the new box is given as;

volume of the new box = 2l x 2w x 3h

                                       = 12 (lwh)

Therefore,

volume of the new box = 12 x volume of the initial rectangular box

21/58.

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