Question

check 676 is a perfect cube or not​

Answer 1

Answer:

No

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Answer 2

Answer:

Here is your answer

Step-by-step explanation:

676 Cubed

676 cubed, (676)3, is the number you get when multiplying 676 times 676 times 676.

It can also be looked at as exponentiation involving the base 676 and the exponent 3.

The term is usually pronounced 3rd power of six hundred seventy-six or six hundred seventy-six cubed.

The cube of 676 is a perfect cube because the number is the product of the three equal integers 676.

It can be written as 676 × 676 × 676 or in exponential form.

Read on to learn everything about the number six hundred seventy-six cubed, including useful identities.

(676)3 = 308,915,776

676 × 676 × 676 = 308,915,776

The inverse operation of cubing 676 is extracting the cube root of 676, explained here.

In the next section we elaborate on the cube 676.

What is 676 Cubed?

A cube is a three-dimensional shape with 6 equal square faces.

Hence, a cube with side length 676 has an area of 308,915,776.

The sum and the differences of two cubes, for example with side length 676 and 675, can be calculated with the following formulas:

a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3

With a = 676, b = 675 and the equivalence we get:

(676)3 = 1351 x (6762 – 676 × 675 + 6752) – 6753 = 1351 x (456976 – 456300 + 455625) – 307546875 = 1351 x 456301 – 307546875 = 308,915,776

a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3

With a = 676, b = 675 and the equivalence we get:

(676)3 = (6762 + 676 × 675 + 6752) + 6753 = 456976 + 456300 + 455625 + 307546875 = 308,915,776

As follows from (1), 676 cubed can be calculated from 675 cubed and 676 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3

(676)3 = (2 × 676 – 1) × (6762 – 676 + 1) – (675)3 = 1351 × (456976 – 675) – 307546875 = 1351 × 456301 – 307546875 = 308,915,776

Using the second formula 676 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1

(676)3 = 6753 + 3 × 6762 – 3 × 676 + 1 = 307546875 + 3 × 456976 – 3 × 676 + 1 = 307546875 + 1370928 – 2028 + 1 = 308,915,776

A cube similar to 676 is, for example: cube of 678.676 CubedAhead, we discuss the frequently

The following table contains the cubes of numbers close to 676.

Table

Number Cube

671 302,111,711

672 303,464,448

673 304,821,217

674 306,182,024

675 307,546,875

676 308,915,776

677 310,288,733

678 311,665,752

679 313,046,839

680 314,432,000

681 315,821,241

Six Hundred Seventy-Six Cubed

676 cubed is equivalent to 308,915,776.

Ahead is the summary of our information.

Conclusion

To sum up,

676 cubed = 676 x 676 x 676 = (676)3 = 676 to the 3rd power = 308,915,776.

The exponentiation form is mostly used to denote 676 cube.