8 wooden rectangular parallelopiped of same shape when arranged one over another, the volume becomes 128 cc. If the base of each rectangular parallelopipcd be a square and of height 1 cm, then find the length, breadth and height of each wooden rectangular parallelopiped.

Explanation

Let the length and breadth of each wooden rectangular parallelopiped be x cm. Since · there are 8 such parallelopiped of height 1 cm each have been arranged one over another, the total height . of this soild object is 8 cm. ·
So, the volume of whole solid objecti `= x xx x xx 8 " cc" = 8x^2` cc
As per question `8x^2=128 or , x^2 = 128/8 = 16 or, x sqrt(16) ` or , x =4
Hence the length, breadth and height of each of the cuboidal solid are 4 cm, 4 cm and l cm respectively.