Question

How many wooden cuboidal blocks of edge 18 cm can be cut from a log of wood of size
6 mX3 mX81 m? ​

Answer 1

Answer:

Step-by-step explanation:

The blocks to be cut are cubical.

Length of the edge = 18cm

therefore, volume of cube = s^3

= (18)^3

= 5832cu.cm

The dimensions of the log are 6m length, 3m width, 81 m height.

Therefore, the log is cuboidal.

Volume of a cuboid = l x b x h

= 6m x 3m x 81m

= 18m x 81 m

= 1458cu.m

Conversion of cu.m into cu.cm

1 cu.m = 100cu.cm

therefore, 1458 cu.m = 145800cu.cm

To find the number of blocks can be cut,

Volume of log/volume of cube

= 145800 / 5832

= 25

Therefore, 25 blocks of the given dimensions can be cut from the log.

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