Question

What will happen to the volume of a cuboid if its Length is doubled, height is doubled and breadth is sama?

Answer 1

\[\text { Suppose that the length, breadth and height of the cuboid are l, b and h, respectively } . \]

\[\text { Then, volume }= l \times b \times h\]

\[\text { When its length is doubled, its length becomes 2 }\times l . \]

\[\text { When its height is double, it becomes 2 } \times h . \]

\[\text { The breadth b remains the same } . \]

\[\text { Now, volume of the new cuboid = length } \times \text { breadth }\times \text { height }\]

\[ = 2 \times l \times b \times 2 \times h\]

\[ = 4 \times l \times b \times h\]

\[ \therefore\text { It can be observed that the volume of the new cuboid is four times the initial volume  }.\]