Explanation:
first let's find the volume of the object using the following formula:
d = m/V
we have:
d = 2.89 g/cm^3
m = 0.255 kg = 255 g
so:
V = 255/2.89
V = 88.24 cm^3
The volume of an object is calculated using the following formula:
length x width x height
we have:
lenght = 34 mm = 3.4 cm
width = 46 mm = 4.6 cm
So:
V = length x width x height
88.24 = 3.4 x 4.6 x height
height = 88.24/15.64
height = 5.64 cm
Answer: height = 5.64 cm