AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The volume of a cuboid whose sides are in the ratio of 1: 2: 4, is the same as that of a cube. Then, what is the ratio of lengths of diagonals of cuboid to that of the cube?

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

31

12

21

22

3.25

12

21

12

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given- volume of a cuboid whose sides are in the ratio of 1: 2: 4.
Let the common ratio be be x.

Volume of cube with side a = volume of cuboid a 3 = x (2 x) (4 x) a 3 = 8 x 3 a = 2 x

Diagonal of the cuboid = x 2 + (2 x) 2 + (4 x) 2 = x 2 + 4 x 2 + 16 x 2 = 21 x

Diagonal of the cube = 3 a = 2 x 3 = 12 x

So, the ratio of diagonals is,

21 x 12 x = 2112

Thus, the ratio is

21

12

Hence, option 4 is the correct option.

Watch 3-min video & get full concept clarity

courses

No courses found

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!