Answer:
The volume in in³ is 4.19 in³
Step-by-step explanation:
To determine the volume in in³ ( cubic inches),
First, we will find the volume in cm³
From the question,
The density of aluminum = 2.70 g/cm³
Mass of the aluminum = 185.3 g
From,
![Density = (Mass)/(Volume)](https://img.qammunity.org/2021/formulas/chemistry/high-school/3953dmf7c4g6fwccm3x6ifa57kxqzzjq4y.png)
Then,
![Volume = (Mass)/(Density)](https://img.qammunity.org/2021/formulas/mathematics/college/w1vrtfzuvm4dau3u4muz4qg2yzwj548xuf.png)
Hence,
The volume of the aluminum in cm³ is
![Volume = (185.3 g)/(2.70g/cm^(3) )](https://img.qammunity.org/2021/formulas/chemistry/college/z0fov3qc66vnmk1nmi2njdb6dpczcv7svf.png)
cm³
This is the volume in cm³
Now, for the volume in in³
1 in = 2.54 cm
∴ 1 in³ = 16.3871 cm³
Now,
If 16.3871 cm³ = 1 in³
Then, 68.63 cm³ =
![x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p9sq9b3rc5nwoqzhzc8wcaj51b36281l9g.png)
![x =(68.63 * 1 )/(16.3871)](https://img.qammunity.org/2021/formulas/chemistry/college/hpf0wx7r3iruk874kgd71hy0kplvr93bwt.png)
in³
Hence, the volume in in³ is 4.19 in³