13. Which of the following substances is the most dense?
Answer: B
B is the most dense substance among the options.
To determine density, we calculate the density for each option using the formula density = mass/volume. Option B has the highest density value.
A) A block of gold weighing 12g and occupying 4.6cm³
The density of this block of gold is calculated as 12g / 4.6cm³, which equals approximately 2.61 g/cm³. While gold is known for its high density, this specific measurement does not yield the highest density among the options presented.
B) A cube weighing 6g and having a volume of 0.91cm³
The density of this cube is calculated as 6g / 0.91cm³, resulting in approximately 6.59 g/cm³. This is the highest density value when compared to the other options, making it the most dense substance in this question.
C) A block weighing 143g and with a volume of 24.3cm³
For this block, the density is calculated as 143g / 24.3cm³, which equals approximately 5.88 g/cm³. Although this is a relatively high density, it is still lower than that of Option B.
D) None of the above
This option suggests that none of the substances listed are the most dense; however, since Option B has been determined to have the highest density, this option is incorrect.
Conclusion
Option B is definitively the most dense substance as it has the highest calculated density at approximately 6.59 g/cm³. The other options either have lower density values or do not exceed the density of Option B, confirming that it is the correct choice.