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 cube is $64 c m 3$ . Its surface area is

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

{16 cm}^{2}

{64 cm}^{2}

{96 cm}^{2}

{128 cm}^{2}

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that the volume of cube =

64 c m 3

.
Let the side of the cube be a.
The formula for the volume of cube with side ‘a’ is given by,
V=

a 3

⟹ 64 = a^{3}

⟹ 4^{3} = a^{3}

⟹ a = 4

The formula for the surface area of cube with side ‘a’ is given by,
Surface of area of the cube =

a 2

So, after substituting the value of all the dimensions in the formula we get,
Surface of area of the cube =

6 \times 4^{2}

{96 cm}^{2}

Therefore, the surface of area of the cube is

{96 cm}^{2} .

Hence option (3) is correct.

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!