Answer the question no. 8
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By L.C.M method
15,30,15's lcm is 30
So multiply to get 30,
15*2=30
30*1=30
15*2=30
So the cuboids needed are 2*2*1=4
HOPE THIS HELPS
PLS MARK AS BRAINLIEST
15,30,15's lcm is 30
So multiply to get 30,
15*2=30
30*1=30
15*2=30
So the cuboids needed are 2*2*1=4
HOPE THIS HELPS
PLS MARK AS BRAINLIEST
Answered by
1
Method - 1:
Given sides of a cuboid are 15cm, 30cm and 15cm.
LCM of 15,30,15 = 30.
Volume of such a cube = s^3
= 30 * 30 * 30
= 27000.
Volume of original cuboid = 15 * 30 * 15
= 6750.
Number of cuboids required = 27000/6750
= 4.
Therefore, 4 cuboids are required to form a cube.
Method - 2:
Given volume of a cube of sides 15cm, 30 and 15cm.
= > 15 * 30 * 15
= > 3 * 5 * 2 * 3 * 5 * 3 * 5
Here, two 2's are left which does not form a triplet.
In order to make it a perfect cube, multiply this expression by 2 * 2 = 4, then it will become a perfect cube.
= > 3 * 3 * 3 * 5 * 5 * 5 * 2 * 2 * 2
= > 27000 is a perfect cube.
Therefore 4 cuboids are required to form a cube.
Hope this helps!
Given sides of a cuboid are 15cm, 30cm and 15cm.
LCM of 15,30,15 = 30.
Volume of such a cube = s^3
= 30 * 30 * 30
= 27000.
Volume of original cuboid = 15 * 30 * 15
= 6750.
Number of cuboids required = 27000/6750
= 4.
Therefore, 4 cuboids are required to form a cube.
Method - 2:
Given volume of a cube of sides 15cm, 30 and 15cm.
= > 15 * 30 * 15
= > 3 * 5 * 2 * 3 * 5 * 3 * 5
Here, two 2's are left which does not form a triplet.
In order to make it a perfect cube, multiply this expression by 2 * 2 = 4, then it will become a perfect cube.
= > 3 * 3 * 3 * 5 * 5 * 5 * 2 * 2 * 2
= > 27000 is a perfect cube.
Therefore 4 cuboids are required to form a cube.
Hope this helps!
siddhartharao77:
:-)
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