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

The volume is 70/9 or 7 7/9.
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`(5)/(3) * (7)/(3) * (2)/(1) = (70)/(9)`

`(70)/(9) = 7 (7)/(9)`

`l * w * h = v`

Answer 2

`V=7(7)/(9) cubic inches`

Explanation:

Given: The length of the hamster bath is
`2(1)/(3)` inches, width is 2 inches and the depth is
`1(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(1)/(3)` inches, width is 2 inches and the depth is
`1(2)/(3)` inches, then the volume is given as:

`V=l{*}w{*}d`

Substituting the given values, we have

`V=2(1)/(3){*}2{*}1(2)/(3)`

`V=(7)/(3){*}2{*}(5)/(3)`

`V=(70)/(9)`

`V=7(7)/(9) cubic inches`

Therefore, the maximum volume is
`7(7)/(9) cubic inches`.