Question

Имеются два сплошных стеклянных куба.во сколько раз отличаются длины рёбер,если масса первого куба в 125 раз больше массы второго?

Answer 1

M1=p1v1
M2=p2v2

p1=p2
Обьем куба определяется как произведение длины высоты и ширины, которые равны:
v=a*a*a => 
M1=p*a*a*a
M2=p*b*b*b

М1=125*M2
Тогда:

125*M2=p*a*a*a
M2=p*b*b*b

Разделим верхнее уравнение на нижнее:

125=a^3/b^3

a^3=125*b^3=(5*b)^3

Answer 2

Calculating the Difference in Length of the Edges of Two Solid Glass Cubes

To calculate the difference in length of the edges of two solid glass cubes, given that the mass of the first cube is 125 times greater than the mass of the second cube, we can use the relationship between mass and volume for cubes.

Let's denote: - The length of the edge of the first cube as x. - The length of the edge of the second cube as y.

According to the given information, the mass of the first cube is 125 times greater than the mass of the second cube.

Relationship Between Mass and Volume for Cubes

The relationship between the mass and volume of a cube is given by the formula: mass = density * volume where density is a constant and volume = edge^3

Using the Relationship to Find the Difference in Length of the Edges

Given that the mass of the first cube is 125 times greater than the mass of the second cube, we can express this relationship as: density * x^3 = 125 * density * y^3

Solving for the Difference in Length of the Edges

To find the difference in length of the edges, we can express the relationship between the lengths of the edges as: x = (125)^(1/3) * y

Therefore, the length of the edge of the first cube is 125^(1/3) times the length of the edge of the second cube.

So, the length of the edge of the first cube is approximately 5 times the length of the edge of the second cube.