A wooden crate 1.8 m long, 1.5 m wide and 1.2 m in height is filled with iron cubes that are 6 cm wide. Find the maximum number of iron cubes that can be fitted in the crate.

Options

A. 13500
B. 15000
C. 14500
D. 14000

Answer

To find the maximum number of iron cubes that can be fitted in the wooden crate, we can follow these steps:

### Step 1: Convert the dimensions of the crate from meters to centimeters.
- The dimensions of the crate are given as:
- Length = 1.8 m = 1.8 × 100 = 180 cm
- Width = 1.5 m = 1.5 × 100 = 150 cm
- Height = 1.2 m = 1.2 × 100 = 120 cm

### Step 2: Calculate the volume of the crate.
- Volume of the crate = Length × Width × Height
- Volume = 180 cm × 150 cm × 120 cm

### Step 3: Calculate the volume of one iron cube.
- The side length of the iron cube is given as 6 cm.
- Volume of one cube = Side × Side × Side = 6 cm × 6 cm × 6 cm = 216 cm³

### Step 4: Calculate the maximum number of iron cubes that can fit in the crate.
- To find the maximum number of cubes, we can divide the volume of the crate by the volume of one cube.
- Maximum number of cubes = Volume of the crate / Volume of one cube

### Step 5: Perform the calculations.
1. Calculate the volume of the crate:
- Volume = 180 cm × 150 cm × 120 cm = 3,240,000 cm³
2. Calculate the maximum number of cubes:
- Maximum number of cubes = 3,240,000 cm³ / 216 cm³ = 15,000

### Final Answer:
The maximum number of iron cubes that can be fitted in the crate is **15,000**.

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