Answer:
[tex]\boxed{\text{Metal c}} }[/tex]
Explanation:
[tex]\text{Density} = \dfrac{\text{mass}}{\text{volume}}\\\\\textbf{a. }\text{Density} = \dfrac{\text{122 g}}{\text{12.5 cm}^{3}} = \text{9.96 g/cm}}^{3}\\\\\textbf{b. }\text{Density} = \dfrac{\text{132 g}}{\text{14.2 cm}^{3}}= \text{9.30 g/cm}}^{3}\\\\\textbf{c. }\text{Density} = \dfrac{\text{126 g}}{\text{18.1 cm}^{3}}= \text{6.96 g/cm}}^{3}\\\\\textbf{d. }\text{Density} = \dfrac{\text{126 g}}{\text{12.7 cm}^{3}}= \text{9.92 g/cm}^{3}\\\\\boxed{\textbf{Metal c}}\text{ has the lowest density}[/tex]
The density of the substance is the physical property defined by mass and volume. The metal with a volume of 18.1 cm³ and a mass of 126 gm has the lowest density. Thus, option c is correct.
Density has been defined as the ratio of the mass in grams to the volume occupied in cubic centimeters. It has an inverse relation to the volume. The higher the volume the lower will be the density.
The densities of the unidentified metals are calculated as,
Density (D) = Mass (m) ÷ Volume (V)
a. Density = 122 gm ÷ 12.5 cm³
= 9.96 g/cm³
b. Density = 132 gm ÷ 14.2 cm³
= 9.30 g/cm³
c. Density = 126 gm ÷ 18.1 cm³
= 6.96 g/cm³
d. Density = 126 gm ÷ 12.7 cm³
= 9.92 g/cm³
Therefore, option c. metal c with a mass of 126 gms and volume of 18.1cm³ has the lowest density of 6.96 g/cm³.
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