Question : The volume of a wall, six times as high as its breadth and half as long as its height, is 23958 cm3. What is the breadth of the wall?
Option 1: 21 cm
Option 2: 15 cm
Option 3: 11 cm
Option 4: 18 cm
Correct Answer: 11 cm
Solution :
Let the breadth be $B$.
Height = $6B$
Length = $\frac{1}{2} \times 6B$ = $3B$
According to the concept,
The volume of a cuboid = Length × Breadth × Height
⇒ $3B \times B \times 6B = 23958$
⇒ $B^3 = \frac{23958}{18}$
⇒ $B^3 = 1331$
⇒ $B = 11$
∴ The breadth of the wall is 11 cm.
Hence, the correct answer is 11 cm.
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