Answer:
[tex]The~total~volume ~of ~the ~glass~ is~ 216 ~cm^3.[/tex]
Step-by-step explanation:
[tex]Greetings![/tex]
[tex]I'm~Isabelle~Williams~and~I~will~be~answering~your~question![/tex]
[tex]Let~``x"~be~the~volume~of~the~glass.[/tex]
[tex]We~know~that~the~glass~is~\frac{1}{3} ~full.[/tex]
[tex]So,~ the ~volume ~of ~the~ glass ~which~ is~ filled~:\frac{1}{3}x[/tex]
[tex]If ~\frac{5}{8} ~^t^h~ of ~the~ glass ~is~ filled,[/tex]
[tex]The~ new~ volume ~of ~the~ glass~ which ~is~ filled~:\frac{5}{8}x[/tex]
[tex]Now,~according~to~the~question:[/tex]
[tex]\frac{1}{3}x+63=\frac{5}{8}x[/tex]
[tex]63=\frac{5}{8}x-\frac{1}{3}x[/tex]
[tex]63=\frac{(15-8)x}{24}[/tex]
[tex]63=\frac{7x}{24}[/tex]
[tex]9=\frac{x}{24}[/tex]
⇒ [tex]x=9\times 24=216[/tex]
[tex]Thus,~the~total~volume~of~the~glass~is~216cm^3.[/tex]
[tex]Hope~my~answer~helps!~Have~an~amazing~day~ahead![/tex]
[tex]-Isabelle~Williams[/tex]
