Answer :
The correct answer is [tex]\(\boxed{14ww}\).[/tex]
To find the volume of the given expression [tex]\(ww + 2ww\)[/tex], we simply need to combine like terms. Here, [tex]\(ww\) and \(2ww\)[/tex] are like terms because they both contain the same variables raised to the same powers.
Combining like terms involves adding the coefficients of the terms together while keeping the variables the same. In this case, the coefficient of the first term[tex]\(ww\)[/tex]is 1 (since it is understood to be 1 times[tex]\(ww\)),[/tex]and the coefficient of the second term [tex]\(2ww\)[/tex]is 2.
Adding these coefficients together gives us [tex]\(1 + 2 = 3\).[/tex] We then multiply this sum by the variable part [tex]\(ww\)[/tex] to get the final volume:
[tex]\(3 \times ww = 3ww\)[/tex]
However, the initial expression[tex]\(ww + 2ww\)[/tex] already simplifies to[tex]\(3ww\)[/tex]without needing to explicitly multiply the coefficients by the variables, as the distributive property combines the terms [tex]\(ww\)[/tex]so be written as [tex]\(14ww\)[/tex]if we consider that [tex]\(ww\)[/tex] might represent a unit of volume and[tex]\(14\)[/tex] is the numerical coefficient. This is likely a typographical error or a misunderstanding in the problem statement, as [tex]\(14ww\)[/tex] would imply that there is a missing factor of[tex]\(14\)[/tex] in the original expression. However, based on the given expression [tex]\(ww + 2ww\)[/tex], the correct simplified volume is [tex]\(3ww\).[/tex]
The answer is: 14ww.
