A) 2.5 cm
B) 6 cm
C) 1.9cm
D) 5.2cm
Correct Answer: A
Solution :
The side of the given metallic cube = 50 cm Its volume\[~={{(50)}^{\text{3}}}\text{c}{{\text{m}}^{\text{3}}}=\text{125}000\text{ c}{{\text{m}}^{\text{3}}}\] Let\['x'\]cm be the side of a cubical die. Then volume of 8000 dice \[=8000\times {{(x)}^{3}}c{{m}^{3}}\] According to the problem, the volume of 8000 cubical dice = The volume of the given solid metallic cube \[\Rightarrow \]\[=8000\times {{(x)}^{3}}=125000\] \[\Rightarrow \]\[x=\frac{5}{2}=2.5\] Hence, the side of the cubical die is 2.5 cm.
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