Find the approximate value that should come in place of the question mark (?) in the following expression. (You are not expected to calculate the exact value.)

$\sqrt[3]{345}+{9.1}^2=?\times 11.02$

The correct option is 8.

We are given the expression:

$\sqrt[3]{345}+{9.1}^2=?\times 11.02$

To find the approximate value of the question mark (?), we can round each term to its nearest convenient whole number:
1. $\sqrt[3]{345}$ is approximately $\sqrt[3]{343}=7$ since 7³ = 343.
2. 9.1² is approximately 9² = 81.
3. 11.02 is approximately 11.

Substituting these approximate values back into the expression gives:

$7+81=?\times 11$

Simplifying the left-hand side:

$88=?\times 11$

Solving for ?:

$?=\frac{88}{11}=8$

Hence, the approximate value that should come in place of the question mark (?) is 8.