The density of titanium is 4.51 g/cm^3. what is the volume (in cubic inches) of 3.5 lb of titanium?
2 answers:
<span>(3.5 lb Ti) x (453.592 g Ti / 1 lb Ti) x (1 cm^3 Ti / 4.51 g Ti) x 0.0610237 in^3 / 1 cm^3) = 21 in^3 Ti.
Use factor label method to cancel out units and make sure to cancel out the units to the solution, which in this case is volume of titanium in cubic inches. We only keep two digits because the original numbers use have two sig figs as the least amount when doing multiplication or division.</span>
The volume of 3.5 lb of titanium in cubic inches is 21.48 inch³
<h2>Further Explanation;</h2><h3>Density </h3>
Density refers to the measure of compactness of a material. It is the mass of a substance or material per unit volume. Mathematically;
Density is measured in g/cm³ or kg/m³ <h3>Mass </h3>
Mass refers to the amount of matter in a substance. The S.i units of mass is Kg but can be measured using other units such as grams. <h3>Volume </h3>
Volume refers to the space occupied by a substance or a shape. The S.I. units of volume is m³, but can be measured using other units such as cm³, in³, etc.
But;
1 pound = 453.592 grams
Therefore;
3.5 pounds = (3.5 × 453.592)
= 1,587.57 grams
But;
Thus;
But;
1 inch³ = 16.3871 cm³
Thus;
352.01 cm³ = (352.01 ÷ 16.3871 )inch³
= 21.48 inch³
The volume of 3.5 lb of titanium in cubic inches is 21.48 inch³
Keywords: Density, mass, volume
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Level: High school
Subject: Physics
Topic: Mass, volume and Density
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