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प्रश्न
What will happen to the volume of a cuboid if its Length is doubled, height is same and breadth is halved?
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उत्तर
\[\text { Suppose that the length, breadth and height of the cuboid are l, b and h, respectively } . \]
\[\text { Then, volume = l } \times b \times h\]
\[\text { When its length is doubled, its length becomes 2 }\times l . \]
\[\text { When its breadth is halved, its length becomes} \frac{b}{2} . \]
\[\text { The height h remains the same } . \]
\[\text { Now, volume of the new cuboid = length } \times \text { breadth } \times\text { height }\]
\[ = 2 \times l \times \frac{b}{2} \times h\]
\[ = l \times b \times h\]
\[ \therefore \text { It can be observed that the new volume is the same as the initial volume . So, there is no change in volume } . \]
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