Answer :

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]