Two solid cubes of side 10 cm each are joined end to end. What is the volume of the resulting cuboid?

Options

A. `500 cm^3`
B. `2000 cm^3`
C. `1000 cm^3`
D. `10000 cm^3`

Answer

To find the volume of the resulting cuboid formed by joining two solid cubes of side 10 cm each, we can follow these steps:

### Step 1: Understand the dimensions of the cubes
Each cube has a side length of 10 cm.

### Step 2: Determine the dimensions of the resulting cuboid
When two cubes are joined end to end, the length of the cuboid will be the sum of the lengths of the two cubes, while the breadth and height will remain the same as the side of the cubes.

- Length of the cuboid = Length of Cube 1 + Length of Cube 2
- Length of the cuboid = 10 cm + 10 cm = 20 cm
- Breadth of the cuboid = 10 cm (same as the side of the cube)
- Height of the cuboid = 10 cm (same as the side of the cube)

### Step 3: Calculate the volume of the cuboid
The volume \( V \) of a cuboid is calculated using the formula:
\[ V = \text{Length} \times \text{Breadth} \times \text{Height} \]

Substituting the values we found:
\[ V = 20 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm} \]

### Step 4: Perform the multiplication
Now, calculate the volume:
\[ V = 20 \times 10 \times 10 = 2000 \, \text{cm}^3 \]

### Final Answer
The volume of the resulting cuboid is **2000 cm³**.

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