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A marble block that is 28 cm wide and 5 cm thick weighs 112 kg since 1 cubic cm of marble weigh 0.25 kilogram.

What is the length of the block?

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3.2 cm

2.3 cm

1.2 cm

1.7 cm

answer is A.

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Detailed Solution

Given that, weight of the marble block is 112 kg; it is 28 cm wide and 5 cm thick.
We have to find the length of the block.
We know that density of a substance is given by,

ρ = Weight Volume

And volume of cuboid with length l, breadth b, height h is given by

l × b × h .

So,

ρ = Weight l × b × h ⇒ l = Weight b × h × ρ

⇒ length = weight of block width × thickness × density of marble

The density of the marble is 0.25 kg/cm3.
Substitute the known values in the formula,

⇒ l = 112 28 × 5 × 0.25 ⇒ l = 11235 ⇒ l = 3.2 cm

Thus, the length of the block is 3.2 cm.
Hence, option 1 is the correct option.

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