Question
How is the density of an object determined?(1 point)
Responses
by subtracting the mass of an object from its volume
by subtracting the mass of an object from its volume
by adding the volume of an object to its mass
by adding the volume of an object to its mass
by multiplying the volume of an object by its mass
by multiplying the volume of an object by its mass
by dividing the mass of an object by its volume
Responses
by subtracting the mass of an object from its volume
by subtracting the mass of an object from its volume
by adding the volume of an object to its mass
by adding the volume of an object to its mass
by multiplying the volume of an object by its mass
by multiplying the volume of an object by its mass
by dividing the mass of an object by its volume
Answers
GPT-4o mini
The density of an object is determined **by dividing the mass of an object by its volume**.
What is the density of a cube with a side length of 2 meters and a mass of 40 kg?(1 point)
Responses
32 kg/m
32 kg/m
120 kg/m2
120 kg/m2
60 kgm
60 kgm
5 kg/m3
Responses
32 kg/m
32 kg/m
120 kg/m2
120 kg/m2
60 kgm
60 kgm
5 kg/m3
GPT-4o mini
To calculate the density, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, determine the volume of the cube. The volume \(V\) of a cube with side length \(s\) is given by:
\[
V = s^3
\]
For a cube with a side length of 2 meters:
\[
V = 2^3 = 8 \, \text{m}^3
\]
Now, plug the mass (40 kg) and the volume (8 m³) into the density formula:
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
So, the density of the cube is **5 kg/m³**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, determine the volume of the cube. The volume \(V\) of a cube with side length \(s\) is given by:
\[
V = s^3
\]
For a cube with a side length of 2 meters:
\[
V = 2^3 = 8 \, \text{m}^3
\]
Now, plug the mass (40 kg) and the volume (8 m³) into the density formula:
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
So, the density of the cube is **5 kg/m³**.
What is the volume of a cube with a side length of 3 centimeters?(1 point)
Responses
9 square centimeters
9 square centimeters
3 cubic centimeters
3 cubic centimeters
6 square centimeters
6 square centimeters
27 cubic centimeters
Responses
9 square centimeters
9 square centimeters
3 cubic centimeters
3 cubic centimeters
6 square centimeters
6 square centimeters
27 cubic centimeters
GPT-4o mini
The volume \(V\) of a cube can be calculated using the formula:
\[
V = s^3
\]
where \(s\) is the side length of the cube.
For a cube with a side length of 3 centimeters:
\[
V = 3^3 = 27 \, \text{cubic centimeters}
\]
Thus, the volume of the cube is **27 cubic centimeters**.
\[
V = s^3
\]
where \(s\) is the side length of the cube.
For a cube with a side length of 3 centimeters:
\[
V = 3^3 = 27 \, \text{cubic centimeters}
\]
Thus, the volume of the cube is **27 cubic centimeters**.
What does the density of an object tell you about the object?(1 point)
Responses
what the weight of the object is
what the weight of the object is
what amount of space the object takes up
what amount of space the object takes up
how compact the object is
how compact the object is
how much matter the object has
Responses
what the weight of the object is
what the weight of the object is
what amount of space the object takes up
what amount of space the object takes up
how compact the object is
how compact the object is
how much matter the object has
GPT-4o mini
The density of an object tell you **how compact the object is**.
Which term describes the amount of matter in a tree?(1 point)
Responses
the density of the tree
the density of the tree
the height of the tree
the height of the tree
the volume of the tree
the volume of the tree
the mass of the tree
Responses
the density of the tree
the density of the tree
the height of the tree
the height of the tree
the volume of the tree
the volume of the tree
the mass of the tree
GPT-4o mini
The term that describes the amount of matter in a tree is **the mass of the tree**.