Respuesta :
Answer:
To find the ratio of the volumes of two cubes, where one cube has a side length of 2 cm and the other cube has a side length of 4 cm, we first calculate the volume of each cube.
The formula for the volume of a cube is
�
=
�
3
V=s
3
, where
�
s is the length of a side of the cube.
For the cube with a side length of 2 cm:
�
1
=
2
3
=
8
cm
3
V
1
=2
3
=8cm
3
For the cube with a side length of 4 cm:
�
2
=
4
3
=
64
cm
3
V
2
=4
3
=64cm
3
Now, to find the ratio of the volume of the first cube (
�
1
V
1
) to the volume of the second cube (
�
2
V
2
), we divide
�
1
V
1
by
�
2
V
2
:
Ratio
=
�
1
�
2
=
8
64
=
1
8
Ratio=
V
2
V
1
=
64
8
=
8
1
Therefore, the ratio of the volume of a cube with a side length of 2 cm to the volume of a cube with a side length of 4 cm is 1:8.
Answer:
s1:8.
Step-by-step explanation:
The ratio of the length ( 1 dimension) of the sides (1 dimension) = 2:4
which simplifies to 1:2.
Now, the ratio of the volumes ( 3 dimensions) is the cubes of the values:
that is 1^3:2^3
= 1:8.
