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The Volume of a Wall, 5 Times as High as It is Broad and 8 Times as Long as It is High, is 128 M3. the Breadth of the Wall is - Mathematics

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 m3. 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) cm3
It is given that the volume of the wall = 128 m3.
Therefore,

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

⇒ 200x = 128000000

⇒ x= 640000

⇒ x= (40 × 40 × 40)

⇒ x = 40 cm

Notes

Note : It should be 128 m3 instead of 12.8 m3

  Is there an error in this question or solution?
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 40 | Page 921
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