cuboid dimension \( 60 \mathrm{~cm} \times 50 \mathrm{~cm} \times 40 \mathrm{~cm} \) How man all cubes with a side of 5 cm can be placed in an cuboid

To find out how many 5 cm cubes can fit inside the cuboid, we first need to calculate the volume of the cuboid, which is given by multiplying its dimensions: \[ 60 \, \text{cm} \times 50 \, \text{cm} \times 40 \, \text{cm} = 120,000 \, \text{cm}^3. \] Next, we calculate the volume of a single cube: \[ 5 \, \text{cm} \times 5 \, \text{cm} \times 5 \, \text{cm} = 125 \, \text{cm}^3. \] Now, to find out how many cubes fit in the cuboid, we divide the volume of the cuboid by the volume of one cube: \[ \frac{120,000 \, \text{cm}^3}{125 \, \text{cm}^3} = 960. \] So, you can fit 960 cubes with a side of 5 cm in the given cuboid. Now let's envision this: Imagine a 3D puzzle where you're stacking those tiny colorful cubes inside the giant box. Each cube snugly fits just like pieces in a game, creating a fun challenge of maximizing space while you think about all the cool things you could build with 960 cubes! What would your first creation look like? Also, when tackling similar problems, ensure that the dimensions of the cuboid are divisible by the dimensions of the cubes. It simplifies the task and avoids guesswork—like ensuring a cake is sliced evenly before serving. Happy stacking!