The volume of cuboid is 36000 cubic cm and its breadth and height is 30 cm and 40 cm respectively. What is its length?

Options

A. 20 cm
B. 30 cm
C. 40 cm
D. 50 cm

Answer

To find the length of the cuboid, we can use the formula for the volume of a cuboid, which is:

\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]

Given:
- Volume = 36000 cubic cm
- Breadth = 30 cm
- Height = 40 cm

We need to find the Length.

### Step-by-step Solution:

1. **Write down the formula for volume of a cuboid:**
\[ V = L \times B \times H \]

2. **Substitute the known values into the formula:**
\[ 36000 = L \times 30 \times 40 \]

3. **Calculate the product of breadth and height:**
\[ 30 \times 40 = 1200 \]

4. **Now substitute this back into the equation:**
\[ 36000 = L \times 1200 \]

5. **To find L (Length), divide both sides by 1200:**
\[ L = \frac{36000}{1200} \]

6. **Perform the division:**
\[ L = 30 \]

Thus, the length of the cuboid is **30 cm**.