What is the least number which must be subtracted from 369 to make it a perfect cube ?

Options

A. 8
B. 26
C. 2
D. 25

Answer

To find the least number that must be subtracted from 369 to make it a perfect cube, we can follow these steps:

### Step 1: Identify the perfect cubes around 369
We need to find the perfect cubes that are close to 369. The perfect cubes of integers are:
- \(7^3 = 343\)
- \(8^3 = 512\)

### Step 2: Determine which perfect cube is less than 369
Among the perfect cubes we identified, \(343\) (which is \(7^3\)) is less than \(369\), while \(512\) (which is \(8^3\)) is greater than \(369\).

### Step 3: Calculate how much to subtract
To find the least number to subtract from \(369\) to make it a perfect cube, we subtract \(343\) from \(369\):
\[ 369 - 343 = 26 \]

### Step 4: Conclusion
Thus, the least number that must be subtracted from \(369\) to make it a perfect cube is \(26\).

### Final Answer:
The least number which must be subtracted from 369 to make it a perfect cube is **26**.

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