platinum has a density of 21.4 grams per cubic centimeter. A bar of platinum has a mass of about 1000 grams. It has a width of 51 millimeters and a height of 9.7 millimeters. Find the length of the bar to the nearest millimeter.
step 1
Find out the volume
Remember that the formula of density is equal to
D=m/V
where
m is the mass and V is the volume
substitute the given values
21.4=1,000/V
solve for V
V=1,000/21.4
V=47.73 cm3
step 2
We have that
The volume of the bar is equal to
V=L*W*H
we have
V=47.73 cm3
W=51 mm=5.1 cm
H=9.7 mm=0.97 cm
substitute
47.73=L*(5.1*0.97)
L=9.648 cm
convert to mm
L=96.48 mm
round
L=96 mm