A cube measuring 6.7 cm along each edge has a mass of 78g. Find the density of the cube.

To find the density of the cube, we need to use the formula:

Density = Mass / Volume

First, let's find the volume of the cube. Since the cube has equal sides, we can find the volume by raising the length of one side to the power of 3:

Volume = (Length of one side)³
Volume = (6.7 cm)³

To calculate this quantity, we need to remember that when you multiply a number by itself three times, you are raising that number to the power of 3. By multiplying 6.7 by itself three times, we get:

Volume = 6.7 × 6.7 × 6.7

Using a calculator, we find that the volume of the cube is approximately 301.893 cm³.

Now that we have the volume and the mass of the cube, we can calculate the density:

Density = Mass / Volume
Density = 78 g / 301.893 cm³

Using a calculator, we find that the density of the cube is approximately 0.258 g/cm³.

0.0025934041088830740483370627371053

3/4x-7=8