What is the mass of this stack of 1 mL cubes in grams?

Chemistry Level 2

This problem's question: What is the mass of this stack of 1 mL cubes in grams?

You shall assume that the cubes are 1mL exactly and are 100% composed of the element with which they are labeled and with the standard isotopic distribution for that element in nature . As a matter of fact, they are very close to cubic, 1mL and at least 0.999 pure.

It has been indicated that different sources have slightly different values for the density. Wolfram Mathematica 12 reported the total as an odd integer. The answer was given as a real of odd integer value, for which Brilliant normally allows a small error. Apparent, though, Brilliant decided that the answer was an integer anyway. Oops!

This is a research and simple arithmetic problem.


The answer is 105.

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1 solution

Symbol Density W 19.250 g / mL Mg 1.738 g / mL Cu 8.960 g / mL Nb 8.570 g / mL Ge 5.323 g / mL Cr 7.190 g / mL Sb 6.697 g / mL V 6.110 g / mL Ti 4.507 g / mL Ag 10.490 g / mL Al 2.7 g / mL C 2.260 g / mL Si 2.330 g / mL Mo 10.280 g / mL Co 8.9 g / mL Total 105. g \begin{array}{lr} \text{Symbol} & \text{Density} \\ \text{W} & 19.250\text{g}/\text{mL} \\ \text{Mg} & 1.738\text{g}/\text{mL} \\ \text{Cu} & 8.960\text{g}/\text{mL} \\ \text{Nb} & 8.570\text{g}/\text{mL} \\ \text{Ge} & 5.323\text{g}/\text{mL} \\ \text{Cr} & 7.190\text{g}/\text{mL} \\ \text{Sb} & 6.697\text{g}/\text{mL} \\ \text{V} & 6.110\text{g}/\text{mL} \\ \text{Ti} & 4.507\text{g}/\text{mL} \\ \text{Ag} & 10.490\text{g}/\text{mL} \\ \text{Al} & 2.7\text{g}/\text{mL} \\ \text{C} & 2.260\text{g}/\text{mL} \\ \text{Si} & 2.330\text{g}/\text{mL} \\ \text{Mo} & 10.280\text{g}/\text{mL} \\ \text{Co} & 8.9\text{g}/\text{mL} \\ \text{Total} & 105.\text{g} \\ \end{array}

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