A square plate of side X cm is 8 mm thick. If its volume is 2880cm³, 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 cm³

Area of the square plate = X²

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 cm³ =  X² × 0.8 cm

⇒ X² = 2880 / 0.8

⇒ X² = 3600 cm²

⇒  X = √3600 cm² = 60 cm

Hence, the value of X is 60 cm.