Taking into account the definition of density, the dimensions of the cube are 4.13 cm× 4.13 cm× 4.13 cm
First of all, you have to know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In others words, density is the measure of how much mass is contained in a unit of volume, that is, it expresses the relationship between the weight (mass) of a substance and the volume that that substance occupies.
It is an intrinsic property of matter, since it does not depend on the amount of substance that is considered.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know:
- density= 8.94 [tex]\frac{g}{cm^{3} }[/tex]
- mass= 150 g
Replacing in the definition of density:
[tex]8.94 \frac{g}{cm^{3} }=\frac{630 g}{volume}[/tex]
Solving:
8.94 [tex]\frac{g}{cm^{3} }[/tex] × volume= 630 g
[tex]volume =\frac{630 g}{8.94 \frac{g}{cm^{3} }}[/tex]
volume= 70.47 cm³
Considering that in a cube the length, width and height have the same value, its volume is equal to the measure of its side (L) to the cube:
Volume= L³
So:
70.47 cm³= L³
∛70.47 cm³= L
4.13 cm= L
Finally, the dimensions of the cube are 4.13 cm× 4.13 cm× 4.13 cm.
Learn more about density:
- brainly.com/question/952755?referrer=searchResults
- brainly.com/question/1462554?referrer=searchResults
