Question

Finally, sometimes the desired value does not directly match the units given but is derived from the calculation required. For example, a sheet of metal that has a volume of 45.5 cm3 has a width of 14.8 cm and has a length 15.9 cm. What is the thickness (that is, the height) of the metal sheet in millimeters?

Answer 1

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:

$V=lbh$

where,

V = volume of metal sheet = $45.5cm^3$  

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:

$45.5cm^3=15.9\times 14.8\times h\\\\h=\frac{45.5}{15.9\times 14.8}=0.193cm$

Converting this thickness into millimeters, we use the conversion factor:

1 cm = 10 mm

So, $0.193cm\times \frac{10mm}{1cm}=1.93mm$

Hence, the thickness of metal sheet is 1.93 mm