What has to be true about mass if a small object (like a metal ball) has a high density? a: the mass has to be high compared to the volume. b: the mass has to be low compared to the volume. c: the mass is not related to the density. d: the mass would be determined by throwing the ball in water.

Since density is equal to mass divided by volume, we can determine the relationship between mass, density, and volume. Therefore, we can automatically know that the answer must either be A or B, since this information is determinable. The prompt lists the object as small. Therefore, we know that density is high, but volume is low. Let's examine the equation (D = M/V), where d = density, m = mass, and v = volume. In order for any number to be divided by a smaller number and have the end result be a higher number, the numerator (i.e. mass) must be bigger than the denominator (i.e. volume). We can also see that this is true by substituting in somewhat random numbers for d, m, and v. D = M / V 5 = 10 / 2 10 > 2 M > V In conclusion, your answer is D.

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