Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9
AI Mentor
Check Your IQ
Free Expert Demo
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

A field is 200 m long and 150 m wide. Near the field is a plot that is 50 meters long and 40 meters wide. The plot is dug 7 meters deep, and the earth removed is evenly distributed out across the area. How many meters higher is the field level now?


see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

0.10 m

b

0.41 m

c

0.47 m

d

0.34 m 

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Given that, the field is 200 m long and 150 m broad.
There is a plot, 50 m long and 40 m broad, near the field.
The plot is dug 7 m deep and the earth taken out is spread evenly on the field.
To find the height that the field will be elevated to.
The formula that we will require to solve this question is-
The volume of a cuboid =l×b×h,  where l, b, h are length , breadth and height of the cuboid.
Volume of the field =200×150×h  
First, we will determine the volume to be dug out
Volume =(50×40×7) m 3  
We'll now use the volume to calculate how high the field needs to be lifted:
The volume of the field = The volume of the earth dugout
⇒200×150×h=50×40×7  
⇒h= 50×40×7 200×150 ⇒h= 7 150  
⇒h=0.47m  
Thus, the height to which the field is to be raised is 0.47 m.
Hence, option 3 is the correct option.
 
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring