Answer:
"Three cubed" or "Three raised to the third power"
Explanation:
The analog of a square in different dimensions is:
0
- a point
1
- a line segment
2
- a square
3
- a cube
The measure (length, area, volume, etc.) of these analogs for an
n
-dimensional shape of side
a
is:
0
dimensions (point):
a
0
=
1
- one object (points only have count, no dimension).
1
dimension (line segment):
a
1
=
a
- length
a
2
dimensions (square)
a
2
- area
a
squared
3
dimensions (cube)
a
3
- volume
a
cubed.
So in our example
3
3
=
3
×
3
×
3
=
27
is the volume of a cube of side
3
.
