Book Online Demo

Check Your IQ

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 cube whose edge measures 12 m is ____ times the volume of a cuboid of dimensions 8 m $\times$ 6 m $\times$ 4 m .

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

The volume of a cube whose edge measures 12 m is 9 times the volume of a cuboid of dimensions 8 m

\times

6 m

\times

4 m .
Given the length of edge of the cube is 12 m.
Volume of cube is given by,

(s i d e) 3

.
So, the volume of the cube

= 12 \times 12 \times 12 = 1, 728 c m^{3}

Also given that the dimensions of cuboid are 8 m

\times

6 m

\times

4 m. The formula for the volume of cuboid having length, breadth and height as

l, b

and

h

respectively is given by,
Volume of a cuboid

= l \times b \times h

So, the volume of the cuboid

= 8 \times 6 \times 4 = 192 c m^{3}

Now,

\frac{1728}{192} = 9 times

Therefore, the volume of a cube whose edge measures 12 m is 9 times the volume of a cuboid of dimensions 8 m

\times

6 m

\times

4 m.

Watch 3-min video & get full concept clarity

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 Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!