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Question
What will be the height of a cuboid of volume 168 m3, if the area of its base is 28 m2?
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Solution
\[\text { Volume of the cuboid = 168 } m^3 \]
\[\text { Area of its base = 28 } m^2 \]
\[\text { Let h m be the height of the cuboid } . \]
\[\text{ Now, we have the following: } \]
\[\text { Area of the rectangular base = lenght } \times \text { breadth }\]
\[\text { Volume of the cuboid = lenght }\times\text { breadth } \times \text { height }\]
\[ \Rightarrow \text { Volume of the cuboid = (area of the base) } \times \text { height }\]
\[ \Rightarrow 168 = 28 \times h\]
\[ \Rightarrow h = \frac{168}{28} = 6 m\]
\[ \therefore\text { The height of the cuboid is 6 m } .\]
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