Math, asked by nihaldebroy5, 6 months ago

find the cube of 25.6​

Answers

Answered by Anonymous
1

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 x,

x^3=x×x×x

So, putting the value of x=25.6 and multiplying the number three times we get the result as follows,

(25.6)^3=25.6×25.6×

=655.36×25.6

=16777.216

Hence, the required value is 16777.216.

Answered by amitnrw
0

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

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