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38 cubed, (38)3, is the number you get when multiplying 38 times 38 times 38.
It can also be looked at as exponentiation involving the base 38 and the exponent 3.
The term is usually pronounced 3rd power of thirty-eight or thirty-eight cubed.
The cube of 38 is a perfect cube because the number is the product of the three equal integers 38.
It can be written as 38 × 38 × 38 or in exponential form.
Read on to learn everything about the number thirty-eight cubed, including useful identities.
Calculator
38 × 38 × 38 = 54,872
The inverse operation of cubing 38 is extracting the cube root of 38, explained here.
In the next section we elaborate on the cube 38.
What is 38 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 38 has an area of 54,872.
The sum and the differences of two cubes, for example with side length 38 and 37, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 38, b = 37 and the equivalence we get:
(38)3 = 75 x (382 – 38 × 37 + 372) – 373 = 75 x (1444 – 1406 + 1369) – 50653 = 75 x 1407 – 50653 = 54,872 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 38, b = 37 and the equivalence we get:
(38)3 = (382 + 38 × 37 + 372) + 373 = 1444 + 1406 + 1369 + 50653 = 54,872
As follows from (1), 38 cubed can be calculated from 37 cubed and 38 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(38)3 = (2 × 38 – 1) × (382 – 38 + 1) – (37)3 = 75 × (1444 – 37) – 50653 = 75 × 1407 – 50653 = 54,872
Using the second formula 38 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(38)3 = 373 + 3 × 382 – 3 × 38 + 1 = 50653 + 3 × 1444 – 3 × 38 + 1 = 50653 + 4332 – 114 + 1 = 54,872
If you want to calculate the cube of any number, not only integers like 38, you can use our calculator above.
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A cube similar to 38 is, for example: cube of 40.
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The following table contains the cubes of numbers close to 38.
Table
| Number | Cube |
|---|---|
| 33 | 35,937 |
| 34 | 39,304 |
| 35 | 42,875 |
| 36 | 46,656 |
| 37 | 50,653 |
| 38 | 54,872 |
| 39 | 59,319 |
| 40 | 64,000 |
| 41 | 68,921 |
| 42 | 74,088 |
| 43 | 79,507 |
Thirty-Eight Cubed
You now know everything about the cube 38 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
38 cubed is equivalent to 54,872.
If you were searching for what is 38 cubed in math or if you typed whats 38 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube38, and 38 to the 3rd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect cubes including 38 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
38 cubed = 38 x 38 x 38 = (38)3 = 38 to the 3rd power = 54,872.
The exponentiation form is mostly used to denote 38 cube.
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– Article written by Mark, last updated on November 26th, 2023