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You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in.1. The big suitcase is how many times larger than the smaller suitcase? 2. You decide to use the larger suitcase to transport rectangular prism watermelons back home. Though their dimensions vary, the average rectangular watermelon has a volume of roughly 720 cubic inches. If one of these watermelons is about 10 inches long and 9 inches wide, about how tall would it be?3. If the average rectangular watermelon has a volume of 720 cubic inches, what’s the maximum number of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase are watermelons?

Respuesta :

Given:

There are given that the value measure for two suitcases is:

[tex]\begin{gathered} 25in\times8in\times9in \\ 75in\times20in\times18in \end{gathered}[/tex]

Explanation:

(1):

From the value of a smaller suitcase:

[tex]25\imaginaryI n\times8\imaginaryI n\times9\imaginaryI n=1800in^3[/tex]

And,

From the bigger suitcases

So,

[tex]75\imaginaryI n\times20\imaginaryI n\times18\imaginaryI n=27000in^3[/tex]

So,

Divide the given value:

So,

[tex]\frac{27000}{1800}=15[/tex]

Final answer:

Hence, the big suitcases is 15 times larger than the smaller suitcases.

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