Pamela wants to buy a suitcase whose dimensions are 1 1/2 times those of her 28 times 16 times 8 inch suitcase. How is the ratio of the volumes related to the ratio of corresponding dimensions? What is the ratio of the volumes?

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volume=length times width times height
her current suitcase volume is 28*16*8=3584 cubic inches

her new one will have each dimention mulipled by 1 and 1/2 or 1.5

so
newV=(1.5*28)*(1.5*16)*(1.5*8)
newV=12096 cubic inches


ratio is 12096/3584=3.375=1.5*1.5*1.5


the ratio is new:old=3.375:1

Thus the required ratio is 3.375

Pamela wants to buy a suitcase whose dimensions are 1 1/2 times of her 28 times 16 times 8 inch suitcase.
What is the ratio of the volumes?

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

volume of former suitcase = 28 x 16 x 8

=3584 cubic inches


volume of latter suitcase
=1.5x28 x1.5x16 x1.5x8
=12096
ratio of volumes
= 12096/3584
=3.375

Thus the required ratio is 3.375 of volumes of suitcase.

Learn more about Ratio here:

brainly.com/question/13419413

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