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almond37 [142]
3 years ago
6

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?
Mathematics
2 answers:
Darya [45]3 years ago
7 0

<span>volume = l x w x h</span>

<span> to increase volume by 3 you would have  3*l*w*h </span>

<span>so 3*l*w*h= l*2*w* x *h  ( x is the scale factor)

</span><span> cancel out the l w and h on both sides

3 = 2x 

Divide both sides by 2   

 x = 3/2 = 1.5

</span><span> the height should increase by a factor of 1.5</span>

arlik [135]3 years ago
7 0

Answer:

<u><em>3/2 or 3 over 2</em></u>

Step-by-step explanation:

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?

Odyssey Question

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