Question

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 1

Answer:

$V=7\frac{7}{9} cubic inches$

Step-by-step explanation:

Given: The length of the hamster bath is $2\frac{1}{3}$ inches, width is 2 inches and the depth is  $1\frac{2}{3}$ 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 $2\frac{1}{3}$ inches, width is 2 inches and the depth is  $1\frac{2}{3}$ inches, then the volume is given as:

$V=l{\times}w{\times}d$

Substituting the given values, we have

$V=2\frac{1}{3}{\times}2{\times}1\frac{2}{3}$

$V=\frac{7}{3}{\times}2{\times}\frac{5}{3}$

$V=\frac{70}{9}$

$V=7\frac{7}{9} cubic inches$

Therefore, the maximum volume is $7\frac{7}{9} cubic inches$.

Answer 2

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