Question

# Find the height (in cm) of a cuboid of volume $$100\ cm^{3}$$, whose length and breadth are $$5 \ cm$$ and $$4\ cm$$ respectively.

Solution

## Given: Length of cuboid $$(l)=5\space\mathrm{cm}$$Breadth of cuboid $$(b)=4\space\mathrm{cm}$$Volume of cuboid $$(V)=100\space\mathrm{cm^3}$$Let height of cuboid be $$h\space\mathrm{cm}$$.$$\therefore$$ Volume of cuboid $$=lbh$$$$\Rightarrow 100=5\times4\times h$$$$\Rightarrow h=\dfrac{100}{5\times4}$$$$\Rightarrow h=5$$So, height of cuboid is $$5\space\mathrm{cm}$$.Mathematics

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