Sure, let's examine the given numbers step-by-step and find their cubes:
1. First, we need to calculate the cube of 3:
[tex]\[
3^3 = 3 \times 3 \times 3 = 27
\][/tex]
2. Next, we calculate the cube of 4:
[tex]\[
4^3 = 4 \times 4 \times 4 = 64
\][/tex]
3. Then, we calculate the cube of 5:
[tex]\[
5^3 = 5 \times 5 \times 5 = 125
\][/tex]
4. Now, we sum the cubes of these three numbers:
[tex]\[
3^3 + 4^3 + 5^3 = 27 + 64 + 125
\][/tex]
5. Adding these values together, we get:
[tex]\[
27 + 64 = 91
\][/tex]
[tex]\[
91 + 125 = 216
\][/tex]
Thus, the sum of the cubes of 3, 4, and 5 is:
[tex]\[
3^3 + 4^3 + 5^3 = 27 + 64 + 125 = 216
\][/tex]
