How is the density of an object determined?(1 point)

Responses

by multiplying the volume of an object by its mass
by multiplying the volume of an object by its mass

by subtracting the mass of an object from its volume
by subtracting the mass of an object from its volume

by dividing the mass of an object by its volume
by dividing the mass of an object by its volume

by adding the volume of an object to its mass

9 answers

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

60 kgm
60 kgm

32 kg/m
32 kg/m

5 kg/m3
5 kg/m3

120 kg/m2

To find the density of the cube, you first need to calculate its volume. The volume \( V \) of a cube is given by the formula:

\[ V = \text{side length}^3 \]

For a cube with a side length of 2 meters:

\[ V = 2 , \text{m} \times 2 , \text{m} \times 2 , \text{m} = 8 , \text{m}^3 \]

Now, to find the density \( \rho \), use the formula:

\[ \rho = \frac{\text{mass}}{\text{volume}} \]

Given that the mass is 40 kg:

\[ \rho = \frac{40 , \text{kg}}{8 , \text{m}^3} = 5 , \text{kg/m}^3 \]

Therefore, 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

6 square centimeters
6 square centimeters

3 cubic centimeters
3 cubic centimeters

9 square centimeters
9 square centimeters

27 cubic centimeters

The volume \( V \) of a cube can be calculated using the formula:

\[ V = \text{side length}^3 \]

For a cube with a side length of 3 centimeters:

\[ V = 3 , \text{cm} \times 3 , \text{cm} \times 3 , \text{cm} = 27 , \text{cm}^3 \]

Therefore, 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 amount of space the object takes up
what amount of space the object takes up

what the weight of the object is
what the weight of the object is

how compact the object is
how compact the object is

how much matter the object has

The density of an object tells you how compact the object is.

Which term describes the amount of matter in a tree?(1 point)
Responses

the mass of the tree
the mass of the tree

the density of the tree
the density of the tree

the volume of the tree
the volume of the tree

the height of the tree

The term that describes the amount of matter in a tree is the mass of the tree.