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If the mass of an object stays the same, but its volume increases, the density of the object will
a) decrease
b) increase
c) stay the same
d) get heavier
If the mass of an object stays the same, but its volume increases, the density of the object will 𝗮) decrease.
Density is defined as mass divided by volume. If the mass remains constant while the volume increases, the density will decrease since the denominator (volume) is getting bigger while the numerator (mass) stays the same.
A sphere with a mass of 12 g has a radius measuring 2 cm. What is its density?
a) 0,36 g/cm
b) 1.43 g/cm
c) 6 g/cm
d) 24 g/cm
To calculate the density of the sphere, we need to use the formula: density = mass / volume.
The volume of a sphere can be calculated using the formula: volume = (4/3) * π * r³, where r is the radius.
Given:
Mass = 12 g
Radius = 2 cm
First, calculate the volume:
volume = (4/3) * π * (2 cm)³ = (4/3) * 3.14 * 8 cm³ = 33.49 cm³ (approximately)
Now, calculate the density:
density = mass / volume = 12 g / 33.49 cm³ ≈ 0.358 g/cm³
Therefore, the density of the sphere is approximately 0.358 g/cm³.
The closest option to this density is option 𝗮) 0.36 g/cm.
The cubic centimeter (cm3) is a measurement of which of the following quantities?
a) density
b) temperature
c) volume
d) mass
The cubic centimeter (cm³) is a measurement of volume.
Hence, the correct answer is option 𝗰) volume.
A student is trying to calculate the density of a ball. She already knows the mass, but she needs to determine the volume as well. Which of the following formulas can be used to calculate the volume of the ball?
a) v= 4/3
b) v= 1/3
c) v= s3
d) v= m2h
The correct formula to calculate the volume of a ball (or sphere) is:
𝗔) v = (4/3)πr³
where "v" represents volume and "r" represents the radius of the ball.
Hence, the correct option is 𝗔) v = (4/3)πr³.
What measurement is the quantity of mass per unit volume?
a) volume
b) temperature
c) mass
d) density
The measurement of mass per unit volume is called density.
So, the correct answer is option 𝗱) density.
A substance has a volume of 20 mL and a density of 2.5 g/mL. What is its mass?
a) 0.125 g
b) 8 g
c) 22.5 g
d) 50 g
To find the mass, we can use the formula: mass = density * volume.
Given:
Density = 2.5 g/mL
Volume = 20 mL
Calculating the mass:
mass = 2.5 g/mL * 20 mL = 50 g
Therefore, the mass of the substance is 50 g.
Hence, the correct answer is option 𝗱) 50 g.
A sample of an unknown liquid has a volume of 12.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value.
To find the density of the unknown liquid, we can use the formula: density = mass / volume.
Given:
Mass = 6 g
Volume = 12.0 mL
Calculating the density:
density = 6 g / 12.0 mL = 0.5 g/mL
Therefore, the density of the unknown liquid is 0.5 g/mL.
This value was determined by dividing the mass of the liquid (6 g) by its volume (12.0 mL) using the density formula.