Question

find the number of cubes of side 20 cm that can be cut from a log of wood of size 2m*06m*20 cm assuming that there is no wastage of wood​

Answer 1

Step-by-step explanation:

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Volume of cube =20*20*20=8000

volume of log=200*30*20=120000

no of cubes =120000/8000=15

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Answer 2

$\bf{\Huge{\underline{\boxed{\sf{\green{ANSWER\::}}}}}}$

$\bf{\large{\underline{\bf{Given\::}}}}}$

The side of cube 20cm that can be cut from  log of wood of size 2m×0.6m×20cm assuming that there is no wastage of wood.

$\bf{\large{\underline{\bf{To\:find\::}}}}}$

The number of cube.

$\bf{\Large{\underline{\sf{\blue{Explanation\::}}}}}$

We have,

The dimensions of log of wood:

• Length = 2m = 200cm
• Breadth = 0.6m = 60cm
• Height = 20cm

We know that volume of the cuboid: $\sf{\red{(Length*breadth*height)}}$

→ (200 × 60 × 20)cm³

→ 240000cm³

Hence, the volume of wood = 240000cm³.

&

We know that volume of cube: $\sf{\red{(Side*Side*Side)}}$

We have,

Side of the cube = 20cm

So,

→ Volume = (20 × 20 × 20)cm³

→ Volume = 8000cm³

Now,

→ Number of cube = $\bf{\frac{Volume\:of\:wood}{Volume\:of\:cube} }$

→ Number of cube = $\bf{\cancel{\frac{240000cm^{3} }{8000cm^{3} } }}$

→ Number of cube = 30 cube.