Home
Class 8
MATHS
Find the cubes of : 2.5...

Find the cubes of :
`2.5`

Text Solution

AI Generated Solution

The correct Answer is:
To find the cube of \(2.5\), we will follow these steps: ### Step-by-Step Solution: 1. **Understand the Cube Calculation**: The cube of a number \(x\) is calculated as \(x \times x \times x\). For our case, we need to calculate \(2.5 \times 2.5 \times 2.5\). 2. **Calculate \(2.5 \times 2.5\)**: \[ 2.5 \times 2.5 = 6.25 \] - To do this, you can think of it as \(25 \times 25\) divided by \(100\) (since \(2.5\) is \(25/10\)): \[ 25 \times 25 = 625 \quad \text{and} \quad 625 \div 100 = 6.25 \] 3. **Multiply the Result by \(2.5\)**: Now we need to multiply \(6.25\) by \(2.5\): \[ 6.25 \times 2.5 \] - We can break this down: \[ 6.25 \times 2.5 = 6.25 \times \frac{25}{10} = \frac{6.25 \times 25}{10} \] 4. **Calculate \(6.25 \times 25\)**: \[ 6.25 \times 25 = 156.25 \] - To do this, you can multiply directly: \[ 6.25 \times 25 = 156.25 \] 5. **Adjust for the Decimal**: Since we divided by \(10\) in the previous step, we need to adjust the decimal point: \[ \frac{156.25}{10} = 15.625 \] 6. **Final Result**: Therefore, the cube of \(2.5\) is: \[ 2.5^3 = 15.625 \] ### Final Answer: The cube of \(2.5\) is \(15.625\). ---
Promotional Banner

Topper's Solved these Questions

  • CUBES AND CUBE - ROOTS

    ICSE|Exercise EXERCISE 4(B)|39 Videos
  • CUBES AND CUBE - ROOTS

    ICSE|Exercise EXERCISE 4(B)|39 Videos
  • CONSTRUCTION (USING RULER AND COMPASSES ONLY)

    ICSE|Exercise EXERCISE 18(D)|10 Videos
  • DATA HANDLING

    ICSE|Exercise EXERCISE 22 (B) |10 Videos

Similar Questions

Explore conceptually related problems

Find the cube of : 7

Find the cube of : 11

Find the cube of : 31

Find the cube of : 54

Find the cube of : -7

Find the cube of : 42

Find the cube of : 16

Find the cube of : -3

Find the cube of : 23

Find the cubes of : 0.12