Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field?

Options:

27 cm

25 cm

28 cm

24 cm

Correct Answer:

25 cm

Explanation:

We know that,

Volume = L × B × H

Surface area = L × B

The total area of the field = 90 × 75 = 6750 m2 

Area of the pit = 18 × 15 = 270 m2 

Remaining area = 6750 - 270 = 6480 m2 

The volume of the pit = 18 × 15 × 6 = 1620 m3 

The volume of the pit = Volume of the remaining field

= 1620 = 6480 × H

H = 0.25m or 25 cm