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

Question

aniked [119]

4 years ago

11

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?

Mathematics

2 answers:

trapecia [35] · Answer 1 · 2021-11-21T06:40:31+03:00

trapecia [35]4 years ago

8 0

Multiply the dimensions by 1.5 and Pamela's suitcase becomes 42" x 24" x 12".

Volume of 28" x 16" x 8": 3584 in^3 

Volume of 42" x 24" x 12": 12,096 in^3 

The volume ratio is 3.375, and yes, you have to cube it.

Soloha48 [4] · Answer 2 · 2021-11-21T09:06:37+03:00

ok

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