Solve for the Cube Root: Finding the Number in ☐³ = 5×5×5

Question

Fill in the missing number:

3=555 ☐^3=5\cdot5\cdot5

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Evaluate the power expression 5555 \cdot 5 \cdot 5
  • Step 2: Determine the number whose cube matches this evaluated expression
  • Step 3: Conclude with the missing number that satisfies 3=555☐^3 = 5 \cdot 5 \cdot 5

Now, let's work through these steps:

Step 1: Calculate the power expression.

555=1255 \cdot 5 \cdot 5 = 125

Step 2: Determine the cube root of 125 to find the missing number.

Since 53=1255^3 = 125, it follows that the missing number must be 5.

Step 3: Verify that 53=1255^3 = 125.

Therefore, the solution to the given problem is 55.

Answer

5