A rectangular prism has dimensions 8 cm by 5 cm by 3 cm. If a smaller rectangular prism with dimensions 3 cm by 2 cm by 1 cm is removed from one corner, what is the remaining volume?

Thu, 16 Apr 2026 05:10:49 +0000

**A rectangular prism has dimensions 8 cm by 5 cm by 3 cm. If a smaller rectangular prism with dimensions 3 cm by 2 cm by 1 cm is removed from one corner, what is the remaining volume?** Why exactly this question is gaining quiet attention among students, DIY enthusiasts, and makers in the US reflects a growing curiosity about practical geometry in everyday design and manufacturing. rectangular prism has dimensions 8 cm by 5 cm by 3 cm. If a smaller rectangular prism with dimensions 3 cm by 2 cm by 1 cm is removed from one corner, what is the remaining volume? It speaks to a broader interest in material efficiency, spatial intelligence, and the precise calculations behind crafting and construction—especially in spaces where every cubic centimeter counts. Understanding volume isn’t just academic—this problem illustrates how removing a compact volume from a larger prism reveals fundamental principles of geometry used in furniture, packaging, model building, and even 3D printing. A rectangular prism has dimensions 8 cm by 5 cm by 3 cm, giving an initial volume of 120 cubic centimeters. Removing a smaller prism measuring 3 cm by 2 cm by 1 cm subtracts just 6 cubic centimeters, leaving 114 cm³. The difference is small, but the concept underscores accuracy in construction and design. This question isn’t about complexity—it’s about clarity. Many curious learners want to verify measurements in real-life projects: customizing storage, modifying prototypes, or optimizing space. The removal of a small corner prism from a larger form reveals how precise measurements preserve structural integrity while enabling customization. rectangular prism has dimensions 8 cm by 5 cm by 3 cm. If a smaller rectangular prism with dimensions 3 cm by 2 cm by 1 cm is removed from one corner, what is the remaining volume?