We need to consider the arrangement of four small cubes with a side length of 1 cm to make a cuboid. First, let's calculate the side length of a cuboid.
Every side of a small cube is 1 cm, so its volume is 1 cm (1cm? )。 If you want to make a cuboid, the volume of this cuboid should be equal to the sum of the volumes of four small cubes.
The total volume of four small cubes is 4cm? . Now you need to find a cuboid with a volume of 4cm? . This cuboid can be arranged in different ways, but its volume must meet the conditions.
First, consider the size of a cuboid. We can express 4cm in different ways. For example, the volume of:
Length 1cm, width 1cm and height 4 mm.
Length 1cm, width 2cm and height 2 mm.
2 cm long, 2 cm wide and 1 mm high.
These are all possible cuboid sizes. Then, we can rotate or arrange these dimensions to get different spellings.
Here are some possible spellings:
Arrange four small cubes in a row to form a cuboid with a length of 1cm, a width of 1cm and a height of 4 mm.
Arrange four small cubes in a row to form a cuboid with a length of 1cm, a width of 2cm and a height of 2 mm.
Arrange four small cubes in a row to form a cuboid with a length of 2cm, a width of 2cm and a height of1mm.
These are basic spellings, but we can also rotate and mirror to get more permutations. For example, we can rotate any cuboid on it around different axes, or flip them to get different spellings.
Generally speaking, there are many ways to assemble four small cubes with a side length of 1 cm into a cuboid. These methods involve different arrangements and rotations, but their volumes are all equal to 4cm? . This problem can stimulate children's spatial imagination and problem-solving ability, and it is an interesting mathematical exploration topic.