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Standard IX

Mathematics

Volume of a cuboid

How many plan...

Question

How many planks each of which is 2 m long, 2.5 cm broad and 4 cm thick can be cut-off from a wooden block 6 m long, 15 cm broad and 40 cm thick?

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Solution

VOLUME OF PLANKS = Length×Breadth×Height
= 200×2.5×4 = 2000CM³
VOLUME OF WOODEN BLOCK = Length×Breadth×Height
= 600×15×40 = 360000CM³
NUMBER OF PLANKS = VOLUME OF WOODEN BLOCK/VOLUME OF EACH PLANKS
= 360000/2000 = 180
Answer= 180

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How many planks each of which is 2 m long, 2.5 cm broad and 4 cm thick can be cut-off from a wooden block 6 m long, 15 cm broad and 40 cm thick?

VOLUME OF PLANKS = Length×Breadth×Height= 200×2.5×4 = 2000CM³VOLUME OF WOODEN BLOCK = Length×Breadth×Height= 600×15×40 = 360000CM³NUMBER OF PLANKS = VOLUME OF WOODEN BLOCK/VOLUME OF EACH PLANKS= 360000/2000 = 180Answer= 180

VOLUME OF PLANKS = Length×Breadth×Height
= 200×2.5×4 = 2000CM³
VOLUME OF WOODEN BLOCK = Length×Breadth×Height
= 600×15×40 = 360000CM³
NUMBER OF PLANKS = VOLUME OF WOODEN BLOCK/VOLUME OF EACH PLANKS
= 360000/2000 = 180
Answer= 180