Multiple choice

A square plate of side $'x'$ cm is $8$ mm thick. If its volume is $ 2880$ $cm^{3}$; find the value of $x$.

  1. $60$
  2. $40$
  3. $70$
  4. $80$
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A Correct answer
Explanation

The thickness is 8 mm = 0.8 cm. The volume is x^2×0.8 = 2880, so x^2 = 3600 and x = 60 cm.

AI explanation

The volume of the square plate is calculated using the formula length times width times thickness, where the thickness of 8 mm must be converted to 0.8 cm. Setting up the equation x * x * 0.8 = 2880 gives 0.8x^2 = 2880. Dividing by 0.8 and taking the square root of the result yields a side length of 60 cm.