Solve for X in the Cuboid Volume Equation: 45 = 2.5 × 4 × X

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the rearranged volume formula to solve for the missing dimension.
• Step 3: Perform the necessary calculations to find $X$.

Now, let's work through each step:

Step 1: The problem gives us:

• Volume of the cuboid, $V = 45$
• Width, $w = 4$
• Length, $l = 2.5$

Step 2: We'll use the formula for the volume of a cuboid, rearranged to solve for height $X$:

$X = \frac{V}{l \times w}$

Step 3: Substitute the given values into the formula:

$X = \frac{45}{2.5 \times 4}$

Calculate $2.5 \times 4 = 10$.

Now, divide the volume by this product:

$X = \frac{45}{10} = 4.5$

Therefore, the solution to the problem is $X = 4.5$.