There are two cubes made of the same substance. the edge of the first cube is 2 times the edge of the other cube

| August 4, 2021 | education

There are two cubes made of the same substance. the edge of the first cube is 2 times the edge of the other cube. How many times is the mass of the first cube greater than the mass of the second cube?

Given:

ro1 = ro2 – cubes are made of the same substance (the density is the same);

a1 = 2 * a2 – the edge of the first cube is 2 times larger than the edge of the second cube.

It is required to determine m1 / m2 – how many times the mass of the first cube is greater than the mass of the second cube.

Find the mass of the first cube:

m1 = ro1 * V = ro1 * a13.

Find the mass of the second cube:

m2 = ro2 * V = ro2 * a23.

Then:

m1 / m2 = ro1 * a13 / (ro2 * a23) = a13 / a23 = (2 * a2) 3 / a23 = 8 * a23 / a23 = 8 times.

Answer: the mass of the first cube is 8 times greater than the mass of the second cube.



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