how many minimum numbers of wooden cuboids of size 2cm * 3cm * 4cm can make a smallest cube ? cutting is allowed. also find the surface area and volume of cube formed.
Answer is 9 Surface area= 216^2 Volume=261cm^3
Please tell how to solve it
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Step-by-step explanation:
The smallest possible cube will have side as 2*3 = 6 cm, for a cube with side lesser than 6 will not be able to fit cuboids in correctly.
I have taken 6 for this is the number that has the least cubic value which has 24 as a factor.
Any other value taken would either be greater or would not have 24 as a factor.
Specifically 24, for it is volume of given cuboid.
Now, volume of a cube = a^3 = 6^3 = 216cm^3.
Volume of a cuboid is l*b*h = 2*3*4 = 24cm^3.
Thus, number of cuboids that can come together to make a cube is 216/24 = 9 cuboids of given dimension.
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