A 2.9-kg pile of aluminum ( = 2.70 g/cm3) cans is melted, and then cooled into a solid cube. What is the volume of the cube?
a. 931 cm3
b. 1074 cm3
c. 1365 cm3
d. 889 cm3
Thank you!
2900 grams of Al
2900 grams (1 cm^3/2.7 grams) = 1074 cm^3
Thanks Damon!!
What is the volume of a piece of platinum (ñ = 22.6 g/cm3) that has a mass of 0.35 kg?
To find the volume of the cube, we need to use the equation:
Volume = Mass / Density
Given that the mass of the pile of aluminum cans is 2.9 kg and the density of aluminum is 2.70 g/cm³, we need to convert the mass from kg to grams to match the units of density.
1 kg = 1000 g
So, the mass of the pile of aluminum cans in grams is:
2.9 kg * 1000 g/kg = 2900 g
Now we can plug in the values into the equation:
Volume = 2900 g / 2.70 g/cm³
Calculating this gives us:
Volume = 1074.07 cm³ (rounded to two decimal places)
Therefore, the volume of the solid cube formed from the melted aluminum cans is approximately 1074 cm³. Therefore, the correct answer is option b. 1074 cm³.