Volume = l Ã— w Ã— h = 2x Ã— x Ã— (x + 4) = 2xÂ²(x + 4) = 2xÂ³ + 8xÂ²

Wed, 06 May 2026 01:36:23 +0000

Understanding the Volume Formula: Volume = l × w × h – Derived to Polynomial Form When studying geometry or engineering applications, one of the most fundamental calculations is the volume of a rectangular prism. The volume is simply the product of length, width, and height—three essential linear dimensions. However, mastering how to express this volume in expanded polynomial form unlocks deeper insights into algebra and real-world applications. In many mathematical exercises, volume formulas take the form:
Volume = l × w × h
where l, w, and h are variables representing length, width, and height. When these dimensions are expressed algebraically—often simplified from general or composite shapes—the volume equation transitions into polynomial form. For example, consider a rectangular prism where:
- Let l = 2x
- Let w = x
- Let h = x + 4