plants are there altogether? Find the volume of a cube with a side length of $$ x+3 \mathrm{~cm} $$. If the volume is 343 $$ \mathrm{~cm}^{3} $$, find the value of $$ x $$.

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To find the value of $$ x $$, we start with the formula for the volume of a cube, which is given by:

$$
V = s^3
$$

where $$ s $$ is the side length of the cube. In this case, the side length is $$ x + 3 $$ cm, and the volume is given as 343 cm³. Therefore, we can set up the equation:

$$
(x + 3)^3 = 343
$$

Next, we take the cube root of both sides to solve for $$ x + 3 $$:

$$
x + 3 = \sqrt[3]{343}
$$

Calculating the cube root of 343, we find:

$$
\sqrt[3]{343} = 7
$$

So, we have:

$$
x + 3 = 7
$$

Now, we can solve for $$ x $$ by subtracting 3 from both sides:

$$
x = 7 - 3
$$
$$
x = 4
$$

Thus, the value of $$ x $$ is:

$$
\boxed{4}
$$
The value of $$ x $$ is 4.

plants are there altogether? Find the volume of a cube with a side length of \( x+3 \mathrm{~cm} \). If the volume is 343 \( \mathrm{~cm}^{3} \), find the value of \( x \).

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