A cube -shaped oil tank which is 1.5-m long is full of oil . If 500L of oil spills out from the tank, how much oil remains in it?

Explanation

To solve the problem, we need to determine how much oil remains in the cube-shaped oil tank after 500 liters have spilled out.

### Step-by-Step Solution:

1. **Calculate the Volume of the Cube-Shaped Tank:**
- The formula for the volume \( V \) of a cube is given by:
\[ V = a^3 \]
where \( a \) is the length of one side of the cube.
- Here, the length of the tank is 1.5 meters.
- Therefore, the volume of the tank is:
\[ V = (1.5 \, \text{m})^3 = 1.5 \times 1.5 \times 1.5 = 3.375 \, \text{m}^3 \]

2. **Convert the Volume from Cubic Meters to Liters:**
- We know that 1 cubic meter is equal to 1000 liters.
- Thus, the volume in liters is:
\[ V = 3.375 \, \text{m}^3 \times 1000 \, \text{L/m}^3 = 3375 \, \text{L} \]

3. **Calculate the Amount of Oil Remaining After Spillage:**
- Initially, the tank is full, so it contains 3375 liters of oil.
- After 500 liters spill out, the remaining oil is:
\[ \text{Remaining Oil} = 3375 \, \text{L} - 500 \, \text{L} = 2875 \, \text{L} \]

### Final Answer:
The amount of oil remaining in the tank after 500 liters spills out is **2875 liters**.

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