A rectangular bar of lead has a cross-sectional area of 4.34 mm^2 and a volume of 37.2 cm^3. How long is the b

Question

A rectangular bar of lead has a cross-sectional area of 4.34 mm^2 and a volume of 37.2 cm^3. How long is the bar? My instructor told me to divide vol by area but I cannot get it to work in one step.

Answer 1

First convert into similar units.

A cm^3 = 1000 mm^3

So V = 37200 mm^3
V/A = 37200/4.34 = 8571 mm or 8.571 meter

Answer 2

A rectangular prism's volume is equal to the base time high

V = Ah

So, h = V/A volume divided by area.

Make sure you have units. I am converting everything into millimeters

37.2 cm^3 = 37200 mm^3

37200 / 4.34

= 8,571 mm long

or 8.571 meters long.