The volume of a wall is 12.8 meter3. It is 5 times as high as it is broad and…

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The volume of a wall is 12.8 meter3. It is 5 times as high as it is broad and 8 times as long as it is high. Find the breadth of the wall.

  1. A.

    120 cm

  2. B.

    160 cm

  3. C.

    38 cm

  4. D.

    40 cm

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Show answer & explanation

Correct answer: D

We know that, formula:

The volume of any Cuboid = Length × Breadth × Height

Now, according to the given question:

Let the breadth of the wall be x meters. Then,

Height = 5x metres, and

Length = 40x metres.

According to the formula:

Volume of the cuboid = x × 5x × 40x = 12.8

∴ x3

= 12.8/200 m3

= 128/2000 m3

= 64/1000 m3

So, x = (4/10) m

= {(4/10) × 100} cm = 40 cm.

Hence the required answer is 40 cm.

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