Answer:
[tex]\large \boxed{\text{41.2 cm}^{3}}[/tex]
Explanation:
1. Mass of zinc
The density of zinc is 7.14 g/cm³
D = m/V
[tex]\begin{array}{rcl}7.14 & = & \dfrac{m}{15.0}\\\\m & = & 7.14 \times 15.0\\& = & \text{107.1 g}\\\end{array}\\[/tex]
2. Volume of aluminium
The density of aluminium is 2.60/cm³.
[tex]\begin{array}{rcl}2.60 & = & \dfrac{107.1}{V}\\\\2.60V & = & 107.1\\V& = &\dfrac{107.1}{2.60}\\\\& = &\textbf{41.2cm}^{\mathbf{3}}\\\end{array}\\\large \boxed{\textbf{41.2 cm}^{\mathbf{3}}}\text{ of aluminium have the same mass as 15.0 cm$^{3}$ of zinc.}[/tex]
