Object A has a mass of 12 g and a density of 3 g/cm3. Object B has a mass of 12 g and a density of 5 g/cm3. Which object has a greater volume and by how much?
a) Object A, by 2.6 cubic centimeters
b) Object A, by 1.6 cubic centimeters
c) Object B, by 2.6 cubic centimeters
d) Object B, by 1.6 cubic centimeters
To find the volume of an object, we can use the formula:
Volume = Mass / Density
For object A, the mass is 12g and the density is 3g/cm^3. Plugging in these values into the formula, we get:
Volume (A) = 12g / 3g/cm^3 = 4 cm^3
For object B, the mass is also 12g and the density is 5g/cm^3. Plugging in these values into the formula, we get:
Volume (B) = 12g / 5g/cm^3 = 2.4 cm^3
Therefore, object A has a greater volume by (4 cm^3 - 2.4 cm^3) = 1.6 cm^3.
The correct answer is:
d) Object B, by 1.6 cubic centimeters
To determine which object has a greater volume and by how much, we can use the formula for volume:
Volume = Mass / Density
For Object A:
Volume A = Mass A / Density A = 12 g / 3 g/cm^3 = 4 cm^3
For Object B:
Volume B = Mass B / Density B = 12 g / 5 g/cm^3 = 2.4 cm^3
To find the difference in volume, we subtract the smaller volume from the larger volume:
Difference in volume = Volume A - Volume B = 4 cm^3 - 2.4 cm^3 = 1.6 cm^3
Therefore, the correct answer is (d) Object B, by 1.6 cubic centimeters.
To determine which object has a greater volume and by how much, we need to calculate the volumes of Object A and Object B. We can use the formula:
Volume = Mass / Density
For Object A, the mass is given as 12 g and the density is given as 3 g/cm^3. Plugging these values into the formula, we have:
Volume of A = 12 g / 3 g/cm^3
Simplifying this calculation, we find:
Volume of A = 4 cm^3
For Object B, the mass is given as 12 g and the density is given as 5 g/cm^3. Plugging these values into the formula, we have:
Volume of B = 12 g / 5 g/cm^3
Simplifying this calculation, we find:
Volume of B = 2.4 cm^3
Comparing the volumes, we find that Object A has a greater volume than Object B. To determine the difference in volume, we can subtract the volume of Object B from the volume of Object A:
Difference in volume = Volume of A - Volume of B
Difference in volume = 4 cm^3 - 2.4 cm^3
Difference in volume = 1.6 cm^3
Therefore, the correct answer is option (d) Object B, by 1.6 cubic centimeters.