prikshit makes a cuboids of plasticine of side 5 cm,2 cm , 5 cm how many such cuboids will he need to form a cube?
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Step-by-step explanation:
hello and ur answer is
Volume of Cuboid
Sides are 5, 2, 5 cm
Length = 5 cm
Breadth = 2 cm
Height = 5 cm
Volume = Length x Breadth x Height
= 5 x 2 x 5
Now,
Volume of cuboid x Number of cuboids = Volume of cube
5 x 2 x 5 x Number of cuboids = a3
a3 = 5 x 2 x 5 x Number of cuboids =
Volume of Cube
Let side of cube a
Volume = Side 3
= a3
Since on the left we have cube,
we should have cube on the right as well
To form cube on the right
We multiply by 5 x 2 x 2
Thus, in
a = 5 x 2 x 5 x Number of cuboids
Putting Number of cuboids = 5 x 2 x 2
a = 5 x 2 x 5 x 5 x 2 x 2
a3 = 5 x 5 x 5 x 2 x 2 x 2 =
Therefore,
Number of cuboids = 5 x 2 x 2 = 20.
this is the answer.
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