Difficulty: Medium

Average Score: 58%

Which of the following substances is the most dense?

Rationale

A cube weighing 6g and having a volume of 0.91cm³ has the highest density.

To determine the density of each substance, we use the formula density = mass/volume. By calculating the density for each option, we find that option B has the highest density compared to the others.

A (A block of gold weighing 12g and occupying 4.6cm³) YOUR ANSWER

The density of this block is calculated as 12g / 4.6cm³, which equals approximately 2.61 g/cm³. While gold is dense, this calculation shows that its density is lower than that of option B.

B (A cube weighing 6g and having a volume of 0.91cm³) CORRECT

This cube has a density of 6g / 0.91cm³, which equals approximately 6.59 g/cm³. This is the highest density among all the options, confirming it as the most dense substance listed.

C (A block weighing 143g and with a volume of 24.3cm³) YOUR ANSWER

The density of this block is calculated as 143g / 24.3cm³, which equals approximately 5.88 g/cm³. Although this is a decent density, it is still less than that of option B.

D (None of the above) YOUR ANSWER

This option implies that none of the listed substances are the most dense. However, since option B has a density greater than the others, this statement is incorrect.

Conclusion

The analysis of the densities confirms that option B, the cube weighing 6g with a volume of 0.91cm³, is indeed the most dense substance among the choices provided. The calculations demonstrate that it has the highest density value, surpassing the densities of both the block of gold and the larger block.

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