Question

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

Answer 1

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

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

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

\[\text { When its breadth is halved, its length becomes} \frac{b}{2} . \]

\[\text { The height h remains the same } . \] 

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

\[ = 2 \times l \times \frac{b}{2} \times h\]

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

\[ \therefore \text { It can be observed that the new volume is the same as the initial volume . So, there is no change in volume } . \]