The surface of a cube is $486$ sq.metres. Find the volume of its cube.

512

cu.m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1824

cu.m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

729

cu.m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1000

cu.m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $729$ cu.m
Q $S . A .$ of cube $= 6 a^{2} = 486$
$\Rightarrow a = 9 m ∴ v o l = a^{3} = 729$

Suggest Corrections

Similar questions

Q. The dimensions of a cuboid are in the ratio

1 : 2 : 3

and its volume is

384 c u . m

. Find the dimensions and surface area.

Q. The maximum volume (in

c u . m

) of the right circular cone having slant height

3 m

Q. The maximum volume (in cu.m) of the right circular cone having slant height 3 m is:

Q. Which of the following is/are true for the right circular cone with maximum volume (in cu.m) and having slant height

3 m

An Olympic swimming pool is in the shape of a cuboid of dimensions $50 m$ long and $25 m$ . wide. If it is $3 m$ deep throughout, how many liters of water does it hold?
$(1 c u . m = 1000 l i t e r s)$

Join BYJU'S Learning Program

The surface of a cube is 486 sq.metres. Find the volume of its cube.

The correct option is C 729 cu.mQ S.A. of cube =6a2=486⇒a=9m∴vol=a3=729

The surface of a cube is $486$ sq.metres. Find the volume of its cube.

The correct option is C $729$ cu.m
Q $S . A .$ of cube $= 6 a^{2} = 486$
$\Rightarrow a = 9 m ∴ v o l = a^{3} = 729$