find the cube of 25.6
Answers
Given:
number: 25.6
To find:
the cube of the number.
Solution:
To find the cube of any given number we can multiply the number by itself three times.
So, for a given number ,
=××
So, putting the value of and multiplying the number three times we get the result as follows,
××
=655.36×25.6
=16777.216
Hence, the required value is 16777.216.
cube of 25.6 is 16777.216
Given:
- Number 25.6
To Find:
- Cube of 25.6
Solution:
cube of a number is number multiplied to itself three times
a³ = a × a × a
Step 1:
Rewrite 25.6 in decimal fraction
25.6 = 256/10
Step 2:
Taking cube both sides
(25.6)³ = (256/10)³
Using (a/b)ⁿ = aⁿ/bⁿ
(25.6)³ = (256)³/(10)³
Step 3:
Calculate cube of 256 using (a + b)³ = a³ + b³ + 3ab(a + b)
(256)³ = (250 + 6)³
= (250)³+ 6³ + 3(250)(6)(250 + 6)
= 15625000 + 216 + 4500 (250 + 6)
= 15625000 + 216 + 1125000 + 27000
= 16777216
Step 4:
Find cube of 10
(10)³ = 100
Step 5:
Divide 16777216 by 1000
(25.6)³ = 16777216 /1000
=> (25.6)³ = 16777.216
cube of 25.6 =16777.216