Math, asked by Trimona, 2 days ago

A cuboid is of dimensions 64 × 48 × 32. How many small cubes
with side 8 can be placed in the given cuboid.
please give the steps

Answers

Answered by palanijayam
1

Answer:

it will use

Step-by-step explanation:

Hence 450 cubes can be placed in the given cuboid .

Answered by Ɍɛղgɔƙմ
3

Thanks for your question...

Your required answer :

Given :

Measures of cuboid :

  • Length = 64 cm
  • Length = 64 cmBreadth = 48 cm
  • Length = 64 cmBreadth = 48 cmHeight = 32 cm

Measures of cube :

  • Side = 8 cm

To find :

  • How many small cubes with side 8 can be placed in the given cuboid.

Solution :

  • Volume of cuboid : L × B × H
  • Volume of cuboid : L × B × H64 × 48 × 32.
  • Volume of cuboid : L × B × H64 × 48 × 32.98304 cm³

  • Volume of cube =
  • Volume of cube = a³8³
  • Volume of cube = a³8³512 cm³

Now ,

</p><p>[tex]No. \:  of  \: cube = \frac{volume \: of \: cuboid}{volume \: of \: small \: cube}

 =  \frac{98304}{512}  \\  \\  = 192 \: cubes

Therefore , 192 small cubes with side 8 can be placed in the given cuboid.

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