Respuesta :

Answer:

The work for the problem is correct and also the answer is correct.

[tex]\begin{gathered} V=Bh \\ V=25in^2(5in) \\ V=125in^3 \end{gathered}[/tex]

Explanation:

Given the given cube.

we want to determine if the work for the problem is correct.

The volume of the shape can be calculated using the formula;

[tex]\begin{gathered} V=lwh=Bh \\ \text{where;} \\ B=lw=\text{base area} \\ h=\text{ height} \\ l=\text{length} \\ w=\text{width} \\ V=\text{volume} \end{gathered}[/tex]

Given;

[tex]\begin{gathered} h=5\text{ in} \\ B=lw=5in\times5in \\ B=25in^2 \end{gathered}[/tex]

substituting the values;

[tex]\begin{gathered} V=Bh \\ V=25in^2(5in) \\ V=125in^3 \end{gathered}[/tex]

Therefore, the work for the problem is correct and also the answer is correct.