A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 12 cm. If the prism is sliced into smaller cubes each with a side length of 2 cm, how many such cubes can be made?

Tue, 05 May 2026 16:39:17 +0000

**Why People Are Talking About How Many 2-Cm Cubes Fit Into an 8x5x12 Prism—And What It Reveals** Ever wondered how much space is hidden inside a seemingly simple box? The question of how many 2 cm × 2 cm × 2 cm cubes can fit inside a rectangular prism measuring 8 cm long, 5 cm wide, and 12 cm tall isn’t just a classroom math puzzle—its real-world relevance touches home organization, workshop planning, and even sustainable design. As trends shift toward efficient space use and DIY projects grow in popularity, understanding volume conversions at this scale offers practical insights for everyday planning across the US. The prism’s dimensions—8 cm × 5 cm × 12 cm—set the stage for a straightforward volume calculation: multiply length, width, and height to find total volume (8 × 5 × 12 = 480 cm³), then divide by the cube volume (2 × 2 × 2 = 8 cm³). The result? 480 divided by 8 gives exactly 60 such cubes. This number isn’t just a measurement—it’s a snapshot of how compact engineered spaces optimize real-world area, especially in urban settings where every cubic inch counts. **Why This Problem Is Gaining Attention Across the US**