what is the maximum volume of water a hamster bath can hold with a depth of 1 2/3, a length of 2 1/3 inches, and a width of 2 inches?

Answer :

IAmAmaze
The volume is 70/9 or 7 7/9.
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[tex] \frac{5}{3} \times \frac{7}{3} \times \frac{2}{1} = \frac{70}{9} [/tex]
[tex] \frac{70}{9} = 7 \frac{7}{9}[/tex]
[tex]l \times w \times h = v[/tex]

Answer:

[tex]V=7\frac{7}{9} cubic inches[/tex]

Step-by-step explanation:

Given: The length of the hamster bath is [tex]2\frac{1}{3}[/tex] inches, width is 2 inches and the depth is  [tex]1\frac{2}{3}[/tex] inches.

To find: The maximum volume of water a hamster bath can hold.

Solution: It is given that The length of the hamster bath is [tex]2\frac{1}{3}[/tex] inches, width is 2 inches and the depth is  [tex]1\frac{2}{3}[/tex] inches, then the volume is given as:

[tex]V=l{\times}w{\times}d[/tex]

Substituting the given values, we have

[tex]V=2\frac{1}{3}{\times}2{\times}1\frac{2}{3}[/tex]

[tex]V=\frac{7}{3}{\times}2{\times}\frac{5}{3}[/tex]

[tex]V=\frac{70}{9}[/tex]

[tex]V=7\frac{7}{9} cubic inches[/tex]

Therefore, the maximum volume is [tex]7\frac{7}{9} cubic inches[/tex].

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