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Question
for the problems below, show all work and box your final answers.
- a platinum bar measures 5.0 cm long, 4.0 cm wide, and 1.5 cm thick. it has a mass of 700.0 grams.
a. calculate the volume of the platinum bar.
30 cm³
b. calculate the density of the platinum bar.
Step1: Calculate the volume
The formula for the volume \(V\) of a rectangular prism is \(V = l\times w\times h\), where \(l = 5.0\ cm\), \(w=4.0\ cm\), and \(h = 1.5\ cm\).
$$
LATEXBLOCK0
$$
Step2: Calculate the density
The formula for density \(
ho\) is \(
ho=\frac{m}{V}\), where \(m = 700.0\ g\) and \(V = 30\ cm^{3}\).
$$
LATEXBLOCK1
$$
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a. The volume of the platinum bar is \(30\ cm^{3}\).
b. The density of the platinum bar is approximately \(23.3\ g/cm^{3}\).