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
⇒ 200x3 = 128000000
⇒ x3 = 640000
⇒ x3 = (40 × 40 × 40)
⇒ x = 40 cm
Notes
Note : It should be 128 m3 instead of 12.8 m3
Concept: Volume of a Combination of Solids
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