Mensuration Ques 30

Question

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is $12.8 cu$. metre. Find the breadth of the wall.

(1) $40 cm$

(2) $30 cm$

(3) $20 cm$

(4) $10 cm$

(5) $50 cm$

(Indian Bank PO (Pre.) Exam, 21.01.2017 (Ist Sitting))

Show Answer

Correct Answer: (1)

Solution: (1)

Let width of wall be $x $ cm

$\therefore$ Its height $=5 x $ cm

$\therefore$ Length $=40 x $ cm

$\therefore 40 x \times 5 x \times x=12.8 \times(100)^{3}$

$\Rightarrow x^{3}=\frac{12.8}{200} \times(100)^{3}$ $=0.064 \times 1000000$ $=64000$

$\therefore x=\sqrt[3]{64000}=40 cm$