(a) Three spheres of equal size are composed of aluminum (. density .=2.70 g / cm^3), silver (.

step 1 Good day in this question we are asked to identify the list of the spheres from lightness to hea

(a) Three spheres of equal size are composed of aluminum (....

(a) Three spheres of equal size are composed of aluminum $\left(\right.$ density $\left.=2.70 \mathrm{~g} / \mathrm{cm}^{3}\right),$ silver $\left(\right.$ density $\left.=10.49 \mathrm{~g} / \mathrm{cm}^{3}\right)$ and nickel (density $\left.=8.90 \mathrm{~g} / \mathrm{cm}^{3}\right) .$ List the spheres from lightest to heaviest. (b) Three cubes of equal mass are composed of gold (density $\left.=19.32 \mathrm{~g} / \mathrm{cm}^{3}\right),$ platinum (density $\left.=21.45 \mathrm{~g} / \mathrm{cm}^{3}\right),$ and lead $\left(\right.$ density $\left.=11.35 \mathrm{~g} / \mathrm{cm}^{3}\right)$ List the cubes from smallest to largest.

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Key Concepts

Density

Density is a fundamental physical property defined as mass per unit volume. It indicates how much mass is contained in a given volume and is intrinsic to a material regardless of its shape. This concept allows us to compare materials by simply looking at their density values.

Mass-Volume Relationship

The relationship between mass, volume, and density is expressed by the equation mass = density × volume. This means that for objects of equal volume, the one made of the material with a higher density will have a greater mass. Conversely, for objects of equal mass, the object made of a material with a higher density will have a smaller volume.

Geometric Considerations in Material Comparisons

Understanding how geometry interacts with material properties is key. When comparing objects with the same shape and size, differences in mass arise solely from differences in density. When comparing objects of equal mass but different materials, the object with higher density occupies a smaller volume. This interplay is critical in problems involving spheres or cubes made from various materials.

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