Discussion
The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Answer: D
Let the breadth be \( b \). Then the height is \( 5b \) and the length \( 8 \times 5b = 40b \).
\[ V = b \times 5b \times 40b = 200b^{3} = 12.8 \]
\[ b^{3} = 0.064 \quad\Longrightarrow\quad b = 0.4 \text{ m} = 40 \text{ cm} \]
"Eight times as long as it is high" refers to the height \( 5b \), not the breadth - reading it as \( 8b \) would give a different wall.
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