Find X in a Cuboid: Volume 924 with Dimensions 12 and 7

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

• Step 1: Apply the formula for the volume of a cuboid: $V = l \times w \times h$.
• Step 2: Substitute the known values: $924 = 12 \times 7 \times X$.
• Step 3: Simplify and solve for $X$.

Now, let's work through each step:
Step 1: The formula for the volume of the cuboid is $V = l \times w \times h$.
Step 2: Substitute the given values into the formula: $924 = 12 \times 7 \times X$.
Step 3: Calculate $12 \times 7$ which equals 84. Thus, $924 = 84 \times X$.
Step 4: Solve for $X$ by dividing both sides by 84:
$\frac{924}{84} = X$
Perform the division: $924 \div 84 = 11$.

Therefore, the value of $X$ is $11$.