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HOW MANY CUBOIDS OF DIMENSIONS 4CM, 6CM,15CM ARE NEEDED TO MAKE A CUBE

 If u mean- "A cuboid has dimensions 4cm, 6cm, 15cm. what is the minimum number of cuboids required to make a cube?"

Then,

Given, dimensions of cuboid are 4 cm, 6 cm and 15 cm.

L.C.M. of 4, 6 and 15 is 60.

Since, 4 × 15 = 60

6 × 10 = 60

And, 15 × 4 = 60

Hence, the number of cuboids required to form a cube = 15 × 10 × 4 = 600.

Hence, by using 600 cuboids, we can form a cube with side 60 cm each. 

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A cuboid of 4x4x6x6x15x15=93600

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6 cubes
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Prime factors of 4=2*2
Prime factors of 6=3*2
Prime factors of 15=5*3
Prime factors of 4,6 and 15 together=2*2*2*3*3*5=360
But 360 does not have cubic root. To get a cubic root we have to multiply it with 3,5and 5.
Therefore, there are 3*5*5=75 more cuboids required to make it a cube.
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How many cuboid of dimensions 4cm, 6cm,15cm are needed to make a cube?
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75 cuboids
  • -1
75 cuboids
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patilabhi1412@gmail.com
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360cm2
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75 cuboid
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25cube
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Given that dimensions of cuboids are (4cm,6cm,15cm.)
Volume of the cuboid :l *b*h
4*6*15 :360
To form as triplets
(4*6*15)( 4*6*15)
360 *360
129,600
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Given dimension of cuboid are 4cm , 6cm, and 15cm LCM of 4,6and15 is 60 4×15=60 6×10=60 15×4=60 Hence the no. Of cuboid required to form a cube = 15×10×4=600
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) Faces = F = x ,

Vertices = V = 5

And

Edges = E = 20

Now we substitute these values in Euler's formula and get :

5 - 20 + x = 2 ,

x - 15 = 2 ,

x = 17

So, Number of faces = 17 ( Ans )

ii ) Faces = F = 6 ,

Vertices = V = x

And
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5.4161634481E15
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456712348 ka square root
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If u mean- "A cuboid has dimensions 4cm, 6cm, 15cm. what is the minimum number of cuboids required to make a cube?"

Then,

Given, dimensions of cuboid are 4 cm, 6 cm and 15 cm.

L.C.M. of 4, 6 and 15 is 60.

Since, 4 ? 15 = 60

6 ? 10 = 60

And, 15 ? 4 = 60

Hence, the number of cuboids required to form a cube = 15 ? 10 ? 4 = 600.

Hence, by using 600 cuboids, we can form a cube with side 60 cm each.?
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