Question

The number of wooden cubical blocks of edge 20 cm that can be cut out from another cubical block of wood of edge 3 m 60 cm is

• A. $5382$
• B. $5832$
• C. $5283$
• D. None of these

Answer 1

The correct option is B $5832$

Given Edge of large cubical wooden block $=3m60cm=360cm$

then Volume of large cube $=(edge{)}^3=(360{)}^3=46656000c{m}^3$

Given Edge of each small cubical wooden block $=20cm$

then Volume of each small cube $=(edge{)}^3=(20{)}^3=8000c{m}^3$

Now It asks for the number of small cubes that can be cut out from large cube.

Let the number of small cubes $=N$

then Total volume of small cubes $=$ Volume of Large cubes

Number of small cubes $\ast$ volume of each small cube $=$ Volume of Large cube

$N\ast 8000=46656000$

$N=\frac{46656000}{8000}=5832$

So Number of small cubes $=5832$