Question

What will be the height of a cuboid of volume 168 m³, if the area of its base is 28 m²?

Answer 1

\[\text { Volume of the cuboid = 168 } m^3 \]

\[\text { Area of its base = 28 } m^2 \]

\[\text { Let h m be the height of the cuboid } . \]

\[\text{ Now, we have the following: } \]

\[\text { Area of the rectangular base = lenght } \times \text { breadth }\]

\[\text { Volume of the cuboid = lenght }\times\text {  breadth } \times \text { height }\]

\[ \Rightarrow \text { Volume of the cuboid = (area of the base) } \times \text { height }\]

\[ \Rightarrow 168 = 28 \times h\]

\[ \Rightarrow h = \frac{168}{28} = 6 m\]

\[ \therefore\text { The height of the cuboid is 6 m } .\]