Question

How many wooden cubical blocks of edge 15 cm can be cut from another cubical block of edge 6 m?​ give me answer it is very urgent and solve correct.

Answer 1

Question:

How many wooden cubical blocks of edge 15 cm can be cut from another cubical block of edge 6 m?

Answer:

64000

Note:

• Volume of cuboid = Length•Breadth•Height

• Volume of cube = (Side)³

• Volume of cylinder = π•(Radius)²•Height

• Volume of cone = (1/3)•π•(Radius)²•Height

• Volume of sphere = (4/3)•π•(Radius)³

• Volume of hemisphere = (2/3)•π•(Radius)³

• 1 m = 100 cm

Solution:

Given:

• The edge (or side) of original cube is 6 m ( ie. 600 cm )

• The edge (or side) of small cubes to be cut from original cube is 15 cm .

Now,

• Volume of original cube = (600)³

• Volume of a small cube = (15)³

Now,

Let the no. of small cubes to be cut be n .

Also,

In this case , the volume is conserved .

Thus,

$= > \: volume \: of \: original \: cube \: = (no. \: of \: small \: cubes) \times (volume \: of \: a \: small \: cube) \\ = > \: no. \: of \: small \: cubes \: = \frac{volume \: of \: original \: cube}{voume \: of \: a \: small \: cube} \\ = > n \: = \frac{volume \: of \: original \:cube}{volume \: of \: a \: small \: cube} \\ = > n \: = \frac{ {600}^{3} }{ {15}^{3} } \\ = > n \: = { (\frac{600}{15} )}^{3} \: \\ = > n \: = {40}^{3} \\ = > n \: = 64000$

Hence,

64000 cubical blocks can be cut from the original block.