Squares and cubes from 1 to 30
Understand the Problem
The question is asking for the squares and cubes of the numbers from 1 to 30. This requires computation for each number in that range to identify their squares (number raised to the power of 2) and cubes (number raised to the power of 3).
Answer
The squares and cubes of numbers from 1 to 30 are displayed in the table above.
Answer for screen readers
Here are the squares and cubes of the numbers from 1 to 30:
Number  Square ($n^2$)  Cube ($n^3$) 

1  1  1 
2  4  8 
3  9  27 
4  16  64 
5  25  125 
6  36  216 
7  49  343 
8  64  512 
9  81  729 
10  100  1000 
11  121  1331 
12  144  1728 
13  169  2197 
14  196  2744 
15  225  3375 
16  256  4096 
17  289  4913 
18  324  5832 
19  361  6859 
20  400  8000 
21  441  9261 
22  484  10648 
23  529  12167 
24  576  13824 
25  625  15625 
26  676  17576 
27  729  19683 
28  784  21952 
29  841  24389 
30  900  27000 
Steps to Solve

Identify the range of numbers We need to compute the squares and cubes for each integer from 1 to 30.

Calculate the squares For a number $n$, the square is calculated as $n^2$. We will compute this for each integer from 1 to 30. Example for the first few numbers:
 For $n = 1$: $1^2 = 1$
 For $n = 2$: $2^2 = 4$
 For $n = 3$: $3^2 = 9$
 Continue until $n = 30$.
 Calculate the cubes For a number $n$, the cube is calculated as $n^3$. We will compute this for the same integers from 1 to 30. Example for the first few numbers:
 For $n = 1$: $1^3 = 1$
 For $n = 2$: $2^3 = 8$
 For $n = 3$: $3^3 = 27$
 Continue until $n = 30$.
 Present the results Compile the results into a list or table format displaying each number, its square, and its cube.
Here are the squares and cubes of the numbers from 1 to 30:
Number  Square ($n^2$)  Cube ($n^3$) 

1  1  1 
2  4  8 
3  9  27 
4  16  64 
5  25  125 
6  36  216 
7  49  343 
8  64  512 
9  81  729 
10  100  1000 
11  121  1331 
12  144  1728 
13  169  2197 
14  196  2744 
15  225  3375 
16  256  4096 
17  289  4913 
18  324  5832 
19  361  6859 
20  400  8000 
21  441  9261 
22  484  10648 
23  529  12167 
24  576  13824 
25  625  15625 
26  676  17576 
27  729  19683 
28  784  21952 
29  841  24389 
30  900  27000 
More Information
The square of a number represents the area of a square with a side length equal to that number, while the cube of a number represents the volume of a cube with side length equal to that number. This concept is useful in various fields, including geometry and algebra.
Tips
 Confusing squares and cubes: Remember that squaring is raising to the power of 2 and cubing is raising to the power of 3.
 Miscalculating: Doublecheck calculations especially for larger numbers.