Astudent is given two metal cubes that look similar. the first had an edge length of 1.05 cm and a mass of 14.32 g, while the other had an edge length of 2.66 cm and a mass of 215.3 g. how can the student determine if these two cubes of metal are the same material using only the given data?

The value densities of cube-1 and cube-2 are not at all similar which means that both the cubes are made up of different materials.

Explanation:

Mass and volume are extensive properties of the matter which change with change in the size of matter. But density is an intensive property of a matter which is independent of the size and shape of the matter.The density of the matter is given by:

                                             

So one can compare of values of densities of two unknowns to determine whether both are materials the same or not.

Given:

Two different cubes, one with an edge length of 1.05 cm and mass of 14.32 g, and the other cube have an edge length of 2.66 cm and mass of 215.3 g.

To find:

Whether two cubes are of the same material or not.

Solution:

The edge length of the cube-1 = l = 1.05 cm

The volume of cube-1 =v

Th mass of cube-1 = m = 14.32 g

The density of the cube-1 =d

The edge length of the cube-2 = l' = 2,66 cm

The volume first cube-2 =v'

Th mass of cube-2 = m = 215.3g

The density of the cube-2 =d'

The value density of cube-1 is different from that of cube-2, not at all similar which means that both the cubes are made up of different materials.

Learn more about properties of the matter here:

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Find the density of both
Object One
Volume = 1.05^3 cm^3 = 1.158 cm^3
Mass = 14.32
Density = mass / volume
Density = 14.32 / 1.158
Density = 12.37 g/cm^3

Object Two
The density for this object is found exactly the same way. Just use the numbers given to you.
Density = 11.43 grams / cm^3

Conclusion
Since you trust your gives to 3 places, it does not look like these two cubes are made of the same material.
Not the same material <<<===

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant. 

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