How many cuboids are needed to make a cube
Asked by admin @ in Math viewed by 350 People
How many cuboids are need to make a cube if dimensions of cuboid is 5×2×5 cm^3?
Answered by admin @
Answer:
Given, sides of a cuboid are 5cm, 2cm and 5cm
Volume of cuboid =5*2*5 = 50 cm3
Let the side of the cube formed with minimum number of cuboids = x
Hence volume of the cube = x3
Number of cuboids required = n
Hence n*50 = x3
Now, n*50 must be perfect cube
n*50 = n*2*5*5
So, minimum value of n = 2*2*5 = 20
Hense, the number of cuboid will be needed to form a cube is 20
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