QuestionFill in the perfect cubes for $x = 1$ to $10$ : What is $x^3$ for each $x$ ?

Studdy Solution

STEP 1

Assumptions1. The table represents the perfect cubes of the numbers1 through10. . A perfect cube is a number that is the cube of an integer.

STEP 2

The perfect cube of a number is calculated by multiplying the number by itself three times. The formula to find the perfect cube of a number x is $x^{} = x \\times x \\times x$

STEP 3

Calculate the perfect cube of1.
$1^{3} =1 \\times1 \\times1$

STEP 4

Calculate the result.
$1^{3} =1$

STEP 5

Calculate the perfect cube of2.
$2^{3} =2 \\times2 \\times2$

STEP 6

Calculate the result.
$2^{3} =8$

STEP 7

Calculate the perfect cube of3.
$3^{3} =3 \\times3 \\times3$

STEP 8

Calculate the result.
$3^{3} =27$

STEP 9

Calculate the perfect cube of4.
$4^{3} =4 \\times4 \\times4$

STEP 10

Calculate the result.
$4^{3} =64$

STEP 11

Calculate the perfect cube of5.
$5^{3} =5 \\times5 \\times5$

STEP 12

Calculate the result.
$5^{} =125$

STEP 13

Calculate the perfect cube of6.
$6^{3} =6 \\times6 \\times6$

STEP 14

Calculate the result.
$6^{3} =216$

STEP 15

Calculate the perfect cube of7.
$7^{3} =7 \\times7 \\times7$

STEP 16

Calculate the result.
$^{3} =343$

STEP 17

Calculate the perfect cube of.
$^{3} = \\times \\times$

STEP 18

Calculate the result.
$8^{3} =512$

STEP 19

Calculate the perfect cube of9.
$9^{3} =9 \\times9 \\times9$

STEP 20

Calculate the result.
$9^{3} =729$

STEP 21

Calculate the perfect cube of10.
$10^{3} =10 \\times10 \\times10$

STEP 22

Calculate the result.
$10^{} =1000$ The completed table of perfect cubes is\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline $\boldsymbol{x}$ &1 & & &4 &5 &6 &7 &8 &9 &10 \\ \hline $\boldsymbol{x}^{}$ &1 &8 &27 &64 &125 &216 &343 &512 &729 &1000 \\ \hline\end{tabular}

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