Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of a wall which is 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m3. The breadth of the wall is

Options:

40 cm

50 cm

60 cm

70 cm

Correct Answer:

40 cm

Explanation:

The wall is 5 times as high as it is broad, so h = 5b

The wall is 8 times as long as it is high, so l = 8h

 volume of the wall is 12.8 m³  = 12800000 cm³  ( given )

Volume = Length × Height × Breadth

12800000 = l × h × b

Now, substitute the expressions for "l" and "h" from the relationships above:

12800000 = (8h) × 5b × b

12800000 = (8 × 5b) × 5b × b

12800000 = 200 × b³

64000 = b³

b = 40 cm