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 they decide to double the width to create the family-sized box, by what factor must they increase the height?
Question
Answer:
volume = l x w x h to increase volume by 3 you would have 3*l*w*h so 3*l*w*h= l*2*w* x *h ( x is the scale factor)cancel out the l w and h on both sides
3 = 2x
Divide both sides by 2
x = 3/2 = 1.5
the height should increase by a factor of 1.5
solved
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10 months ago
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