how many cubes with an edge of 2 cm can form a rectangular prism that measures 6 cm by 4 cm by 4 cm?
use the method I showed you in one of the previous questions of this type.
To find the number of cubes with an edge length of 2 cm that can form a rectangular prism measuring 6 cm by 4 cm by 4 cm, we need to determine how many layers of cubes can fit in each dimension.
First, let's calculate the number of layers that can fit in the length dimension (6 cm):
- The length of the prism is 6 cm.
- Each cube has an edge length of 2 cm.
- To find the number of layers, divide the length of the prism by the edge length of a cube: 6 cm ÷ 2 cm = 3 layers.
Next, let's calculate the number of layers that can fit in the width dimension (4 cm):
- The width of the prism is 4 cm.
- Each cube has an edge length of 2 cm.
- To find the number of layers, divide the width of the prism by the edge length of a cube: 4 cm ÷ 2 cm = 2 layers.
Finally, let's calculate the number of layers that can fit in the height dimension (4 cm):
- The height of the prism is 4 cm.
- Each cube has an edge length of 2 cm.
- To find the number of layers, divide the height of the prism by the edge length of a cube: 4 cm ÷ 2 cm = 2 layers.
Now, multiply the number of layers in each dimension together to find the total number of cubes:
3 layers × 2 layers × 2 layers = 12 cubes.
Therefore, 12 cubes with an edge length of 2 cm can form a rectangular prism that measures 6 cm by 4 cm by 4 cm.