Question

Which of these have the highest volume

A. - 1kg of lead
B. - 1kg of iron
C. - 1kg of gold
D. - 1kg of aluminum

Answer 1

Aluminum, with a density of 2.70 g/cm³, will have the highest volume for 1 kilogram compared to lead, iron, and gold, because it has the lowest density.

Step-by-step explanation:

The question asks which material will have the highest volume when measuring 1 kilogram of each: lead, iron, gold, or aluminum. To determine this, we can use the property of density, which is mass per unit volume.

Each material has a known density:

• Lead: Density ≈ 11.34 g/cm³
• Iron: Density ≈ 7.87 g/cm³
• Gold: Density ≈ 19.3 g/cm³
• Aluminum: Density ≈ 2.70 g/cm³

Given the same mass (1 kg), a material with a lower density will have a higher volume. Therefore, aluminum, with the lowest density, will have the highest volume among the options given.

Answer 2

D. 1kg Aluminium

Step-by-step explanation:

First of all, you have to know that you were given two quantities, volume and mass.

The relationship between both quantities is given by the formula of density which is:

Density = Mass / Volume

Volume = Mass / Density

Since mass is constant, it means that the volume is inversely proportional to the density.

Volume = k / Density where k is a constant.

This means that the substance with the lowest density would have the highest volume and the one with the highest density would have the highest lowest.

The density of the substances are given as:

Lead = 11.2

Iron = 7.874

Gold = 19.3

Aluminium = 2.7

This means that Aluminium would have the highest volume as its the least dense.