The volume of a rectangular prism is 540 cubic centimeters. If the length is 10 cm and the width is 9 cm, what is the height?
["The Volume of a Rectangular Prism: How to Calculate Height When Given Volume, Length, and Width", "Understanding the volume of a rectangular prism is essential for students, builders, and DIY enthusiasts alike. Whether you're designing a storage box, shipping container, or furniture, knowing how to calculate key dimensions is invaluable. In this guide, we’ll explore a practical example: finding the height of a rectangular prism with a known volume, length, and width.", "### What Is the Volume of a Rectangular Prism?", "A rectangular prism is a three-dimensional shape with six rectangular faces. Its volume is calculated using the formula:", "[\n\ ext{Volume} = \ ext{Length} \ imes \ ext{Width} \ imes \ ext{Height}\n]", "This simple formula makes it easy to solve for any one dimension when the other two are known.", "### Applying the Formula: Step-by-Step", "Let’s apply this formula to a real-life scenario.", "We are given:\n- Volume ( V = 540 , \ ext{cm}^3 )\n- Length ( l = 10 , \ ext{cm} )\n- Width ( w = 9 , \ ext{cm} )\n- Unknown height ( h )", "Start with the volume formula:", "[\nV = l \ imes w \ imes h\n]", "Substitute the known values:", "[\n540 = 10 \ imes 9 \ imes h\n]", "First, calculate the product of length and width:", "[\n10 \ imes 9 = 90\n]", "Now the equation simplifies to:", "[\n540 = 90 \ imes h\n]", "To solve for ( h ), divide both sides by 90:", "[\nh = \frac{540}{90} = 6\n]", "### Conclusion: The Height of the Prism", "The height of the rectangular prism is 6 centimeters.", "This method not only provides a quick solution but also strengthens your grasp of volume calculations. Being able to rearrange the formula ( V = l \ imes w \ imes h ) for unknown variables is a foundational math skill used across science, engineering, and everyday problem-solving.", "Whether you're constructing something new or just curious about geometric principles, remembering how to find height using volume helps turn abstract formulas into practical skills.", "---", "Keywords for SEO:\nrectangular prism volume calculator, how to find height of a prism, volume formula volume, rectangular prism dimensions, solve for height in volume, geometry problems with given volume", "Optimizing this article with targeted keywords helps it rank well in search engines for students, teachers, and DIY lovers searching for volume calculation help."]
