Figure the density first: 25.68g/1cm^3
then
mass=density(volume)
of the same material with sides 2.54 cm in length be?
then
mass=density(volume)
ps: screw webwork
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 โ 166.75 g
Therefore, the mass of the cube with sides 2.54 cm in length would be approximately 166.75 g.