MCQ

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 128 m^{3}. The breadth of the wall is

#### Options

30 cm

40 cm

22.5 cm

25 cm

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#### Solution

40 cm

Let the breadth of the wall be x cm.

Then, its height = 5x cm

and its length = (8 × 5x)

= 40 × cm

Hence, the volume of the wall = (40x × x × 5x) cm^{3}

It is given that the volume of the wall = 128 m^{3}.

Therefore,

⇒ 40x × x × 5x = 128 × 100 × 100 × 100

⇒ 200x^{3 } = 128000000

⇒ x^{3 }= 640000

⇒ x^{3 }= (40 × 40 × 40)

⇒ x = 40 cm

#### Notes

__ Note__ : It should be 128 m

^{3}instead of 12.8 m

^{3}

Concept: Volume of a Combination of Solids

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