Question

what the maximum volume of water a Hamster bath could hold with depth of 1 2/3 inches a length of 2 1/3 and a width of 2 inches ​

Answer 1

The maximum volume of water is
`7(7)/(9)\ in^3`

Explanation:

we know that

The volume of a rectangular prism (Hamster bath) is equal to

`V=(L)(W)(D)`

where

L is the length

W is the width

D is the deep

we have

`L=2(1)/(3)=(2*3+1)/(3)=(7)/(3)\ in`

`W=2\ in`

`D=1(2)/(3)=(1*3+2)/(3)=(5)/(3)\ in`

substitute the values in the formula

`V=((7)/(3))(2)((5)/(3))`

`V=(70)/(9)\ in^3`

Convert to mixed number

`(70)/(9)\ in^3=(63)/(9)+(7)/(9)=7(7)/(9)\ in^3`

therefore

The maximum volume of water is
`7(7)/(9)\ in^3`