Answer: The thickness of metal sheet is 1.93 mm
Explanation:
The metals sheet is in the form of cuboid.
To calculate the width of the metal sheet for the given volume, we use the equation to calculate the volume of cuboid, which is:
[tex]V=lbh[/tex]
where,
V = volume of metal sheet = [tex]45.5cm^3[/tex]
l = length of metal sheet = 15.9 cm
b = width of metal sheet = 14.8 cm
h = height of metal sheet = ? cm
Putting values in above equation, we get:
[tex]45.5cm^3=15.9\times 14.8\times h\\\\h=\frac{45.5}{15.9\times 14.8}=0.193cm[/tex]
Converting this thickness into millimeters, we use the conversion factor:
1 cm = 10 mm
So, [tex]0.193cm\times \frac{10mm}{1cm}=1.93mm[/tex]
Hence, the thickness of metal sheet is 1.93 mm
