Find X in a Cuboid: Volume 60 cm³ with Dimension (X+2)

To solve the problem of finding $X$ for a cuboid with a given volume, we proceed as follows:

• Step 1: Identify the dimensions of the cuboid: $5 \, \text{cm}$, $X+2 \, \text{cm}$, and $3 \, \text{cm}$.
• Step 2: Recall the volume formula for a cuboid: $V = l \times w \times h$.
• Step 3: Substitute the known values into the volume equation: $5 \times (X+2) \times 3 = 60$.

Now, let's solve this equation step-by-step:

First, calculate the product involving $X$:
$5 \times 3 \times (X + 2) = 60$.

Simplify the left side:
$15 \times (X + 2) = 60$.

Next, distribute the 15 on the left side:
$15X + 30 = 60$.

To isolate $X$, subtract 30 from both sides:
$15X = 30$.

Finally, divide both sides by 15 to solve for $X$:
$X = 2$.

Therefore, the value of $X$ is $2$.