Acereal manufacturer decides to offer a new family-sized box based on the regular-sized box. they want the volume of the family-sized box to be three times the volume of the regular-sized box. however, they want the length of the family-sized box to be the same as the regular-sized box. if they decide to double the width to create the family-sized box, by what factor must they increase the height?

Step-by-step explanation:

Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.

If original dimensions are l,w and h then volume = lwh

Volume of new box is= 3lwh

But here w becomes 2w and l remains the same.  Let h' be the new height

Then we have

So by 1.5 factor height should be dilated.

the solution is 12x-6y