A loaf of bread (volume 3200 cm3) with a density of 0.50 g/cm3 is crushed in the bottom of the grocery bag into a volume of 2400 cm3. What is the density of the mashed bread in g/cm3

From the first set, use mass = volume x density to determine the mass of the bread. Then use that with the second set and mass = volume x density to calculate density (with the new volume of 2400 cm3)

you should end up with an answer close to 2400cm3

To find the density of the mashed bread, we need to compare the mass of the bread before and after it is crushed.

Step 1: Find the mass of the bread before it is crushed.
Density is defined as mass divided by volume. Rearranging the formula, we have mass = density × volume.
Given the volume of the bread (before crushing) is 3200 cm3 and the density is 0.50 g/cm3, we can calculate the mass of the bread using the formula:
Mass = density × volume
Mass = 0.50 g/cm3 × 3200 cm3
Mass = 1600 g

Step 2: Find the mass of the mashed bread.
The volume of the mashed bread is 2400 cm3, given in the question.
Since the mass is changing, we can use the formula again to find the mass of the mashed bread:
Mass = density × volume
Mass = ? (we need to find this) × 2400 cm3

Step 3: Calculate the density of the mashed bread.
To find the density of the mashed bread, we divide the mass by the volume:
Density of the mashed bread = Mass of the mashed bread ÷ Volume of the mashed bread
Density of the mashed bread = (Mass of the bread before it is crushed) ÷ (Volume of the mashed bread)
Density of the mashed bread = 1600 g ÷ 2400 cm3

Finally, calculate the density:
Density of the mashed bread = 0.67 g/cm3

To find the density of the mashed bread, we need to determine the mass of the mashed bread and divide it by its volume.

The initial volume of the bread is given as 3200 cm³, and its density is given as 0.50 g/cm³. We can use this information to calculate the initial mass of the bread.

Mass of the bread = Density x Volume
Mass of the bread = 0.50 g/cm³ x 3200 cm³

Now, we need to find the density of the mashed bread. The mashed bread has a volume of 2400 cm³. We can use this information along with the initial mass of the bread to calculate the density of the mashed bread.

Density of mashed bread = Mass of the mashed bread / Volume of the mashed bread

To find the mass of the mashed bread, we need to use the principle of conservation of mass. The mass should remain the same, even if the volume changes.

So, we can set up the equation:
Mass of the bread = Mass of the mashed bread

Now, we can substitute the values in the equation and calculate the density of the mashed bread.

Mass of the bread = 0.50 g/cm³ x 3200 cm³
Mass of the mashed bread = 0.50 g/cm³ x 2400 cm³

Density of mashed bread = (0.50 g/cm³ x 3200 cm³) / 2400 cm³

Simplifying further, we get:

Density of mashed bread = (1600 g) / 2400 cm³

So, the density of the mashed bread is 0.67 g/cm³.