three cubes of edges 3cm, 4cm and 5cm melted and cast into a new cube. find the edges of new cube
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Answered by
4
27+64+125 = 216
side of new cube is 6
side of new cube is 6
Sachinkk:
no answer is 60 because one cube volume is 60 and 3 cubes volume will 60^3 =a3 so answer is 60
Answered by
10
Answer:
6 cm
Step-by-step explanation:
The volume of the new cube will be equal to the sum of the volumes of each of the smaller cubes.
Volume of a cube = (Side) ^3
Sum of volumes of the smaller cubes:
(3^3 + 4^3 + 5^3) cm ^3
= (27 + 64 + 125) cm^3
= 216 cm^3
Let side of the new cube be S.
Hence,
S^3 = 216
S = (216) ^ (1/3)
S = 6 cm
Prime factorisation of 216 :
2 × 2 × 2 × 3 × 3 × 3
= 2^3 × 3^3
= (6) ^3
Hence,
(216) ^ (1/3) = {(6)^3} ^ {1/3} = 6
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