Question

A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm³; find the value of x.

Answer 1

We know that

1 mm = ${\displaystyle \frac{1}{10}}$ cm

8 mm = ${\displaystyle \frac{8}{10}}$ cm

Volume = Base area × Height

⇒ 2880 cm³ = ${\displaystyle x\times x\times \frac{8}{10}}$

⇒ ${\displaystyle 2880\times \frac{10}{8}}$ = x²

⇒ x² = 3600

⇒ x = 60 cm