Here's how to convert metric tons (MT) to cubic meters (m³) for basalt rock with a specific gravity of 2.7:

Understanding the Concepts

* Specific Gravity: The ratio of the density of a substance to the density of water. For basalt, this means it's 2.7 times denser than water.

* Density: Mass per unit volume (typically measured in kg/m³).

* Conversion: To go from metric tons to cubic meters, we need to consider the density of the basalt.

Formula

```

Volume (m³) = Mass (MT) / (Specific Gravity * Density of Water)

```

Explanation

1. Mass (MT): This is the given weight of the basalt in metric tons.

2. Specific Gravity: 2.7 (given for basalt).

3. Density of Water: 1000 kg/m³ (this is a standard value).

Let's break down the steps with an example:

Example:

Suppose you have 5 metric tons (MT) of basalt.

1. Convert MT to kg: 5 MT * 1000 kg/MT = 5000 kg

2. Apply the formula:

Volume (m³) = 5000 kg / (2.7 * 1000 kg/m³) = 1.85 m³ (approximately)

Therefore, 5 metric tons of basalt would occupy approximately 1.85 cubic meters of space.