Percentage Change and Reverse Percentage
Percentage Change and Reverse Percentage
TGM Original Questions
The breadth of a cuboid is \(6\) cm. The length of the cuboid is \(150\%\) that of its breadth, and the breadth of the cuboid is \(150\%\) that of its height.
- Find the length and height of the cuboid.
- Find the volume of the cuboid.
- If the length of the cuboid is increased by \(50\%\) and the breadth of the cuboid is decreased by \(50\%\), while the height of the cuboid does not change. Find the new length and breadth of the cuboid.
- Based on your answers in (iii), determine whether the volume of the cuboid is the same as original. If yes, state your reasons by providing detailed workings. If not, find the new volume and the percentage change in the volume of the cuboid.
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Answer:(i) Length \(=9\text{ cm}\), height \(=4\text{ cm}\) (ii) \(216\text{ cm}^3\) (iii) New length \(=13.5\text{ cm}\), new breadth \(=3\text{ cm}\) (iv) No. New volume \(=162\text{ cm}^3\), a \(25\%\) decrease
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