The volume of a wall is 128 cm3. If the height of the wall is 6 times its breadth and the length is 9 times its breadth, find the breadth.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\sqrt[3]{2.37}\) cm
A wall is a cuboid, so its volume is length \(\times\) breadth \(\times\) height. Writing all three in terms of the breadth gives one equation.
Assuming the breadth to be \(b\) cm:
Length \(=9b\), height \(=6b\)
Volume \(=9b\times b\times6b=54b^3=128\)
\(\displaystyle b^3=\frac{128}{54}=2.370\ldots\)
\(b=\sqrt[3]{2.37}\) cm