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

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30 cm

315 cm

answer is A.

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Detailed Solution

Given that, weight of marble block 28cm by 5cm is 112kg. 1cu. cm marble weighs 25g.
The volume of a cube can be expressed as

V = l b h

. Here l, b and h is the length, width and thickness.
Let the length of the block be

d

.
The width and thickness of the block is

b = 28 cm

and

t = 5 cm

.
The volume of the block is,
Question Image

Thus, the volume of the block is,

V = d b h ⇒ 4480 = d × 28 × 5 ⇒ d = 4480140 ⇒ d = 32 cm

Thus, the length of the marble block is 32cm.
Therefore, option (1) is correct.

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