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 2.54 cm in length be?

Figure the density first: 25.68g/1cm^3

then

mass=density(volume)

65.2g

it's 420.8

ps: screw webwork

To find the mass of the larger cube, we can use the concept of ratios.

Since the two cubes are made of the same material, their masses will be proportional to their volumes. The volume of a cube is given by the formula V = s^3, where s is the length of the side.

For the first cube with sides of 1.000 cm, its volume is 1.000 cm * 1.000 cm * 1.000 cm = 1.000 cm^3.

We can set up a ratio comparing the volume of the smaller cube to the larger cube:

(1.000 cm / 2.540 cm)^3 = (1.000 cm^3) / (V of larger cube)

Simplifying the ratio, we get:

0.3937^3 = 1.000 cm^3 / (V of larger cube)

0.1540 = 1.000 cm^3 / (V of larger cube)

Now, since the masses of the two cubes are proportional to their volumes, we can set up another ratio comparing the masses:

(25.68 g) / (m of larger cube) = 1.000 cm^3 / (V of larger cube)

Solving for the mass of the larger cube:

m of larger cube = (25.68 g) * ((V of larger cube)/(1.000 cm^3))

To find the value of (V of larger cube), we can substitute the previously calculated ratio:

m of larger cube = (25.68 g) * ((1.000 cm^3) / 0.1540)

m of larger cube ≈ 166.75 g

Therefore, the mass of the cube with sides 2.54 cm in length would be approximately 166.75 g.