Respuesta :
Answer:
The volume in in³ is 4.19 in³
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,
[tex]Density = \frac{Mass}{Volume}[/tex]
Then,
[tex]Volume = \frac{Mass}{Density}[/tex]
Hence,
The volume of the aluminum in cm³ is
[tex]Volume = \frac{185.3 g}{2.70g/cm^{3} }[/tex]
[tex]Volume = 68.63[/tex] 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 = [tex]x[/tex]
[tex]x =\frac{68.63 \times 1 }{16.3871}[/tex]
[tex]x =4.19[/tex] in³
Hence, the volume in in³ is 4.19 in³