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# A square plate of side X cm is 8 mm thick. If its volume is 2880cm^{3}, find the value of X?

We will be using the formula for the volume of a cuboid for finding the side of the given square plate.

## Answer: The value of X is 60 cm.

Let's solve this step by step.

**Explanation:**

Given:

The volume of square plate = 2880 cm^{3}

Area of the square plate = X^{2}

We know that, 1 mm = (1/10) cm

8 mm = (1/10) × 8 = 0.8 cm

Square plate volume = Thickness of the plate × Area of the square plate

Substituting the given values, we get,

2880 cm^{3 }= X^{2} × 0.8 cm

⇒ X^{2} = 2880 / 0.8

⇒ X^{2} = 3600 cm^{2}

⇒ X = √3600 cm^{2 }= 60 cm

### Hence, the value of X is 60 cm.

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