Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The volume of a wall whose height is six times its breadth and length is half its height, is 23958 cm3. What is the breadth of the wall?

Options:

21 cm

15 cm

11 cm

18 cm

Correct Answer:

11 cm

Explanation:

We know that,

Volume of a cuboid = Length × Breadth × Height

We have,

The volume of a wall = 23958 cm3

Let the height = 6x

 breadth = x

 and length = 3x

According to the question,

3x × x × 6x = 23958

= x3 = \(\frac{23958}{18}\) 

= x3 = 1331

= x = 11 cm