Math worksheet for calculating surface area and volume of cubes with given side lengths.

To solve the problem of finding the surface area (SA) and volume (V) for each cube, we need to use the following formulas:

Formulas:

1. Surface Area (SA) of a Cube:
\[
SA = 6 \times (\text{side length})^2
\]

2. Volume (V) of a Cube:
\[
V = (\text{side length})^3
\]

Step-by-Step Solution:

#### Cube 1: Side length = 18
- Surface Area (SA):
\[
SA = 6 \times (18)^2 = 6 \times 324 = 1944
\]
- Volume (V):
\[
V = (18)^3 = 18 \times 18 \times 18 = 5832
\]

#### Cube 2: Side length = 8
- Surface Area (SA):
\[
SA = 6 \times (8)^2 = 6 \times 64 = 384
\]
- Volume (V):
\[
V = (8)^3 = 8 \times 8 \times 8 = 512
\]

#### Cube 3: Side length = 6
- Surface Area (SA):
\[
SA = 6 \times (6)^2 = 6 \times 36 = 216
\]
- Volume (V):
\[
V = (6)^3 = 6 \times 6 \times 6 = 216
\]

#### Cube 4: Side length = 4
- Surface Area (SA):
\[
SA = 6 \times (4)^2 = 6 \times 16 = 96
\]
- Volume (V):
\[
V = (4)^3 = 4 \times 4 \times 4 = 64
\]

#### Cube 5: Side length = 3
- Surface Area (SA):
\[
SA = 6 \times (3)^2 = 6 \times 9 = 54
\]
- Volume (V):
\[
V = (3)^3 = 3 \times 3 \times 3 = 27
\]

#### Cube 6: Side length = 2
- Surface Area (SA):
\[
SA = 6 \times (2)^2 = 6 \times 4 = 24
\]
- Volume (V):
\[
V = (2)^3 = 2 \times 2 \times 2 = 8
\]

#### Cube 7: Side length = 25
- Surface Area (SA):
\[
SA = 6 \times (25)^2 = 6 \times 625 = 3750
\]
- Volume (V):
\[
V = (25)^3 = 25 \times 25 \times 25 = 15625
\]

#### Cube 8: Side length = 12
- Surface Area (SA):
\[
SA = 6 \times (12)^2 = 6 \times 144 = 864
\]
- Volume (V):
\[
V = (12)^3 = 12 \times 12 \times 12 = 1728
\]

#### Cube 9: Side length = 7
- Surface Area (SA):
\[
SA = 6 \times (7)^2 = 6 \times 49 = 294
\]
- Volume (V):
\[
V = (7)^3 = 7 \times 7 \times 7 = 343
\]

#### Cube 10: Side length = 5
- Surface Area (SA):
\[
SA = 6 \times (5)^2 = 6 \times 25 = 150
\]
- Volume (V):
\[
V = (5)^3 = 5 \times 5 \times 5 = 125
\]

Final Answers:

\[
\boxed{
\begin{array}{ll}
1-\text{SA} = 1944 & 6-\text{SA} = 384 \\
2-\text{V} = 5832 & 7-\text{V} = 512 \\
3-\text{SA} = 216 & 8-\text{V} = 216 \\
4-\text{V} = 96 & 9-\text{SA} = 294 \\
5-\text{SA} = 54 & 10-\text{V} = 125 \\
\end{array}
}
\]