Difficulty: Easy

Average Score: 76%

Which of the following substances is most dense?

Rationale

A cube weighing 6g and having a volume of 0.91cm³ is the most dense substance.

To determine density, we use the formula density = mass/volume. Calculating the densities of each option reveals that the cube in choice B has the highest density compared to the others.

A (A block of gold weighing 12g and having a volume of 4.6cm³) YOUR ANSWER

The density of the gold block is calculated as 12g / 4.6cm³, which equals approximately 2.61 g/cm³. While gold is known for its high density, this specific block does not have the highest density among the options provided.

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

The density of this cube is calculated as 6g / 0.91cm³, resulting in approximately 6.59 g/cm³. This value is the highest among all the options, making this cube the most dense substance listed.

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

The density of the block is found by dividing the mass by the volume: 143g / 24.3cm³, yielding about 5.88 g/cm³. Although this density is substantial, it is still less than that of the cube in choice B.

D (None of the above.) YOUR ANSWER

This choice suggests that none of the substances listed are the most dense, which is incorrect as the cube in choice B has been determined to have the highest density among the options.

Conclusion

The density of the cube weighing 6g and with a volume of 0.91cm³ is the highest when calculated, confirming it as the most dense substance among the options. Each of the other choices, while having considerable densities, do not exceed this value, demonstrating the importance of calculating density to compare substances accurately.

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