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Rearranging formulas is a key skill in algebra and is often needed when solving for a particular variable. In the given exercise, we need to isolate the variable L in the volume formula \( V = LWH \). The first step is to understand what each variable represents: V is the volume, L is the length, W is the width, and H is the height.
To isolate L, we need to manipulate the equation so that L is alone on one side of the equation. We achieve this by performing the same operation on both sides of the equation.
In this case, we divide both sides by WH to isolate L: \( L = \frac{V}{WH} \).
This step-by-step rearranging helps ensure accuracy and logically isolates the desired variable.

Volume calculation is an important aspect in various fields such as physics, engineering, and everyday life. The volume of a rectangular prism (box) can be calculated using the formula \( V = LWH \), where L is the length, W is the width, and H is the height.

Here's what each term means:

• Length (L): The longest side of the rectangle.
• Width (W): The side perpendicular to the length.
• Height (H): The distance between the base and the top of the prism.

These measurements help determine the space inside the 3D shape. By rearranging this formula to \( L = \frac{V}{WH} \), you can find the missing dimension (L) if the volume and other dimensions (W and H) are known.

Isolation of variables refers to the process of solving for a particular variable within an equation. This usually involves moving other variables and constants to the opposite side of the equation using various algebraic operations.

In the provided exercise, our goal is to solve for L from the formula \( V = LWH \). The steps to isolate L include:

• Identifying the operations that involve L (in this case, multiplication by W and H).
• Performing the inverse operation on both sides of the equation (division by WH).

After doing this, we get:
\( L = \frac{V}{WH} \).
This effectively isolates L, making it the subject of the equation and giving us a clear, simplified formula to find L given the values of V, W, and H.