A rectangular prism has a volume of 240 cubic units. Its length is 10 units, and its width is 6 units. What is its height?
["Title: How to Calculate the Height of a Rectangular Prism with a Given Volume", "When studying geometry, one of the most common questions students face is determining the missing dimension of a rectangular prism when its volume, length, and width are known. In this article, we’ll explore a specific problem: finding the height of a rectangular prism with a volume of 240 cubic units, a length of 10 units, and a width of 6 units.", "### Understanding the Formula for Volume", "A rectangular prism’s volume is calculated using the formula:", "[\n\ ext{Volume} = \ ext{Length} \ imes \ ext{Width} \ imes \ ext{Height}\n]", "This straightforward formula makes it easy to solve for any single dimension if the other two are known.", "### Given Values\nFrom the problem:\n- Volume = 240 cubic units\n- Length = 10 units\n- Width = 6 units\n- Height = ? (to be determined)", "### Plugging into the Formula", "Substitute the known values into the formula:", "[\n240 = 10 \ imes 6 \ imes \ ext{Height}\n]", "First, multiply the length and width:", "[\n10 \ imes 6 = 60\n]", "Now the equation simplifies to:", "[\n240 = 60 \ imes \ ext{Height}\n]", "### Solving for Height", "To isolate the height, divide both sides of the equation by 60:", "[\n\ ext{Height} = \frac{240}{60} = 4\n]", "### Final Answer", "The height of the rectangular prism is 4 units.", "### Why This Formula Matters", "Understanding how to compute volume is essential not only in math class but also in real-world applications like construction, packaging, and engineering. Knowing how to rearrange the formula allows you to find any missing dimension—making problem-solving both efficient and intuitive.", "Next time you’re asked to find a dimension of a 3D shape, remember: Volume = Length × Width × Height, and you can always solve for the unknown. For this prism:\n- Length = 10 units\n- Width = 6 units\n- Height = 4 units\n→ Complete ✅ Volume = 240 cubic units", "Whether you're a student learning geometry or someone brushing up on spatial math, mastering this calculation builds a strong foundation for more advanced topics in mathematics.", "---", "Keywords: rectangular prism volume, formula for volume rectangular prism, how to find height of prism, volume calculation, geometry homework help, 3D shape dimensions, L x W x H = V, math practice problem, solve for height", "Meta Description:\nLearn how to calculate the height of a rectangular prism with volume 240 cubic units, length 10, width 6. Step-by-step solution with formula and real-world relevance."]
