Question

Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is ______.

Options

• 36 cm

• 37.5 cm

• 32 cm

• 26.5 cm

Answer 1

Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is 32 cm.

Explanation:

32 cm because

1 cu. cm = 25 g

Total weight = 112 kg

`therefore "volume" = (112 xx 1000)/25`

= 4480 cm³

Now, volume = l × b × h

⇒ 4480 = l × 28 × 5

⇒ l = 32 cm