Rounding off is the problem, explain About this question: Calculate the volume of each of these solids correct to three decimal places.

Rounding off a number means approximating it to a certain number of decimal places or significant figures. When rounding to three decimal places, you need to look at the fourth decimal place to decide whether to round up or keep the third decimal place as it is.

Here's how to round a number to three decimal places:

1. Identify the third decimal place: This is the digit you are potentially going to change.
2. Look at the fourth decimal place: This is the digit immediately to the right of the third decimal place.
3. Apply the rounding rule:
   • If the fourth decimal place is 5 or greater (5, 6, 7, 8, 9), you round up the third decimal place by adding 1 to it.
   • If the fourth decimal place is less than 5 (0, 1, 2, 3, 4), you keep the third decimal place as it is.
4. Drop subsequent digits: After applying the rule, discard all digits to the right of the third decimal place.

Example:
Let's say a calculated volume is $12.34567\ \text{cm}^3$.

1. The third decimal place is 5.
2. The fourth decimal place is 6.
3. Since 6 is 5 or greater, we round up the third decimal place (5 becomes 6).
4. The number rounded to three decimal places is $12.346\ \text{cm}^3$.

Another Example:
If a calculated volume is $7.89123\ \text{m}^3$.

1. The third decimal place is 1.
2. The fourth decimal place is 2.
3. Since 2 is less than 5, we keep the third decimal place as it is (1 remains 1).
4. The number rounded to three decimal places is $7.891\ \text{m}^3$.