three cubes having age is 18 cm 24 cm and 30 cm respectively are melted into a new cube find the edges of the new cube so formed
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The age is 42 cm.
When we add all the numbers like 24cm, 18 cmand 30 cm you will get 42 cm.
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Answer:
The edge of the new cube so formed is 36 cm
Step-by-step explanation:
Three cubes are melted to form a new cube.
Therefore
Sum of volume of 3 cubes = Volume of new cube formed.
We know that volume of cube = l³
So the volume of first cube is
>>>>> 18 x 18 x 18
>>>>> 5832 cm³
The volume of second cube is
>>>>> 24 x 24 x 24
>>>>> 13824 cm³
The volume of third cube is
>>>>> 30 x 30 x 30
>>>>> 27000 cm³
Substitute these values in the formula and we get
5832 + 13824 + 27000 = l³
46656 = l³
l = ∛46656
l = 36 cm
Therefore the edge of the new cube so formed is 36 cm
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