How many cubes of side 2 cm can be cut from a cuboid measuring (16cm x 12cm x 10cm).

Answer

To find out how many cubes of side 2 cm can be cut from a cuboid measuring 16 cm x 12 cm x 10 cm, we will follow these steps:

### Step 1: Calculate the volume of the cuboid.
The volume \( V \) of a cuboid is given by the formula:
\[ V = \text{length} \times \text{breadth} \times \text{height} \]
Here, the dimensions of the cuboid are:
- Length = 16 cm
- Breadth = 12 cm
- Height = 10 cm

Substituting these values into the formula:
\[ V = 16 \, \text{cm} \times 12 \, \text{cm} \times 10 \, \text{cm} \]
\[ V = 1920 \, \text{cm}^3 \]

### Step 2: Calculate the volume of one cube.
The volume \( V_c \) of a cube is given by the formula:
\[ V_c = \text{side}^3 \]
For a cube with a side of 2 cm:
\[ V_c = 2 \, \text{cm} \times 2 \, \text{cm} \times 2 \, \text{cm} \]
\[ V_c = 8 \, \text{cm}^3 \]

### Step 3: Calculate the number of cubes that can be cut from the cuboid.
To find the number of cubes that can be cut from the cuboid, we divide the volume of the cuboid by the volume of one cube:
\[ \text{Number of cubes} = \frac{\text{Volume of cuboid}}{\text{Volume of cube}} \]
Substituting the volumes we calculated:
\[ \text{Number of cubes} = \frac{1920 \, \text{cm}^3}{8 \, \text{cm}^3} \]
\[ \text{Number of cubes} = 240 \]

### Final Answer:
Thus, the number of cubes of side 2 cm that can be cut from the cuboid is **240**.

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