Each question below is followed by two statements I and II. You have ...
From Statement I,
Let the length, breadth and height of the cuboid are l, b and h respectively.
The area of the three adjacent sides of the cuboid are 1632 cm2, 1020 cm2, 1440 cm2.
⇒ lb x bh x lh = 1632 x 1020 x 1440
⇒ lbh2 = 16 x 102 x 102 x 10 x 144 x 10
⇒ lbh = 4 x 102 x 10 x 12
⇒ lbh = 48960 cm3
Volume of the cuboid = lbh = 48960 cm3
So Statement I is sufficient to answer the question.
From Statement II,
Let the side of the square = a
Perimeter of the square = 120 cm
4a = 120
a = 30 cm
The height of the cuboid is equal to the side of a square.
Height of the cuboid = a = 30 cm
Let the breadth of the cuboid = b
The length of the cuboid is twice the breadth.
Length of the cuboid = 2b
No more information is given regarding the length and breadth of the cuboid. We cannot find the length and breadth of the cuboid. We cannot find the volume of the cuboid without length and breadth.
So Statement II is not sufficient to answer the question