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A block of marble 5 m × 4 m × 2 m in size is cut into rectangular tiles of 1 m × 0.5 m size having thickness of 10 cm. Assuming 10% wastage in cutting
Question

A block of marble 5 m × 4 m × 2 m in size is cut into rectangular tiles of 1 m × 0.5 m size having thickness of 10 cm. Assuming 10% wastage in cutting, how many tiles will be made?

A.

240

B.

360

C.

480

D.

720

Correct option is D

Given:
Block dimensions = 5 m × 4 m × 2 m.
Tile dimensions = 1 m × 0.5 m × 0.1 m (10 cm = 0.1 m).
Wastage = 10% (so only 90% of the block volume becomes tiles).

Formula:
Volume of block = L × B × H.
Volume of one tile = l × b × h.
Number of tiles (after wastage) = (0.9 × Volume of block) ÷ Volume of one tile.

Solution:
Volume of block = 5 × 4 × 2 = 40 m³.

Volume of one tile = 1 × 0.5 × 0.1 = 0.05 m³.
Usable volume after 10% wastage = 0.9 × 40 = 36 m³.
Number of tiles = 36 ÷ 0.05 = 720.

Correct Answer: (d) 720

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