Question

Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.

Answer 1

Given,

Weight of 1m³ marble = 0.25 kg

Weight of marble 28 cm wide and 5 cm thick = 112 kg

Let length of block = \(l\) cm

Then volume of block = \(l\) × 28 × 5 cm³ = 140 \(l\) cm³

Weight of block = 140 \(l\) × 0.25

= 112 = 140 \(l\) × 0.25

\(=​​​​l=\cfrac{112\times100}{140\times0.25}\) = 3.2 cm