If a cube with edges of 1.000 cm weighs 25.68 g, what would the mass of a cube

of the same material with sides 2.66 cm in length be?
I got 68.301 but it was wrong...
i basically made a ratio 25.68 g/1cm and did 2.66cm x 25.68 (dimensional analysis)
This should be very simple but I'm having so much trouble with it. Please help, Thank You!

volume of 2 similar cubes is proportional to the cube of their sides

x/25.68 = 2.66^3/1^3
x = 483.32

Thank You!

To solve this problem, you need to find the relationship between the volume and the mass of the cube. By using the given information, you can determine the density of the material.

First, let's find the volume of the original cube. Since all sides of the cube are 1.000 cm in length, the volume can be calculated by multiplying the length of one side by itself twice (1.000 cm x 1.000 cm x 1.000 cm). The volume of the original cube is 1.000 cm³.

Next, you need to find the density of the original cube by dividing the mass (25.68 g) by the volume (1.000 cm³). The density is therefore 25.68 g/cm³.

Now that you have the density, you can calculate the mass of the larger cube. The volume of the larger cube can be found by multiplying the length of one side by itself twice (2.66 cm x 2.66 cm x 2.66 cm). The volume of the larger cube is 18.590 cm³.

Finally, to find the mass of the larger cube, you can multiply the volume of the larger cube by the density of the original cube (18.590 cm³ x 25.68 g/cm³). The mass of the larger cube would be approximately 477.225 g.

Therefore, the correct mass of a cube with sides 2.66 cm in length would be approximately 477.225 g, not 68.301 g.