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Question

# Find the height of a cuboid of volume 100 cm3, whose length and breadth are 5 cm and 4 cm respectively.

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Solution

## $\mathrm{Let}\mathrm{us}\mathrm{suppose}\mathrm{that}\mathrm{the}\mathrm{height}\mathrm{of}\mathrm{the}\mathrm{cuboid}\mathrm{is}h\mathrm{cm}.\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Given}:\phantom{\rule{0ex}{0ex}}\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{cuboid}=100{\mathrm{cm}}^{3}\phantom{\rule{0ex}{0ex}}\mathrm{Length}=5\mathrm{cm}\phantom{\rule{0ex}{0ex}}\mathrm{Breadth}=4\mathrm{cm}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Now},\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{cuboid}=\mathrm{length}×\mathrm{breadth}×\mathrm{height}\phantom{\rule{0ex}{0ex}}⇒100=5×4×h\phantom{\rule{0ex}{0ex}}⇒100=20×h\phantom{\rule{0ex}{0ex}}\therefore h=\frac{100}{20}=5\mathrm{cm}$

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