Question

Find the missing number, if the same rule is followed in all the three figures​

Answer 1

The rule is that the center box has the number which is equal to sum of the cube roots of other four numbers...

For example,

In box 1:

6³ + 3³ + 2³ + 4³ = 315

11³ + 7³ + 8³ + 6³ = 2402

So In the third box ,the required number will be:

number = $\sqrt[3]{ 1190 - (1^{3} + 4^{3} + 5^{3} ) }$

number = $\sqrt[3]{ 1190 -<strong> </strong>190<strong> </strong>}$

number = $\sqrt[3]{ 1000 }$

number = 10

Hence, your answer is 10

Answer 2

The missing number is 10.

Step-by-step explanation:

On studying the figures, it can realized that, the number written in the center is the the sum of the cubes of numbers written on the sides.

Figure 1: The numbers on the sides are 6, 3 , 2, and 4

Taking their cubes  $6^3 =216$

$3^3 =27$

$2^3 =8$

$4^3 =64$

Now adding the cubes $216+ 27 + 8 + 64 = 315$ (number in the center)

Figure 2: The numbers on the sides are 11, 7 , 8, and 6.

Taking their cubes  $11^3 =1331$

$7^3 =343$

$8^3 =512$

$6^3 =216$

Now adding the cubes  $1331+ 343 + 512 +216 = 2402$ (number in the center)

Similarly

Figure 3: The numbers on the sides are 4, 1 , 5, and x. (Let the missing number be x)

Taking their cubes $4^3 =64$

$1^3 =1$

$5^3 =125$

$x^3$

Now adding the cubes $64+ 1 + 125 +x^3 = 1190$

or, $190 +x^3 = 1190$

or, $x^3 = 1190-190$

or, $x^3 = 1000$

Thus, x = 10