$The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu . meters . Find the breadth of the wall in cm .$

40

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Solution

The correct option is A 40
Let the breadth of the wall be $x units$ .
Given, height is 5 times the breadth and length is 8 times the height.
Then,
$height = 5 \times breadth = 5 x units$
$length = 8 \times height = 8 (5 x) = 40 x units$
We know that,
volume of cuboid = length × breadth × height
Given, volume of cuboid = 12.8 m $^{3}$
$\Rightarrow x \times 5 x \times 40 x = 12.8 \Rightarrow 200 x^{3} = 12.8 \Rightarrow x^{3} = \frac{12.8}{200} = \frac{128}{2000} = \frac{64}{1000} \Rightarrow x^{3} = \frac{4 \times 4 \times 4}{10 \times 10 \times 10} \Rightarrow x = \frac{4}{10} m = \frac{4}{10} \times 100 c m = 40 c m$
$∴$ The breadth of the wall = 40 cm

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The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall in cm. 40

$The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu . meters . Find the breadth of the wall in cm .$

40