The total surface area of a cube is $96 c m^{2}$ . The volume of the cube is:

$8 c m^{3}$

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

$512 c m^{3}$

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

$64 c m^{3}$

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

$27 c m^{3}$

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

Open in App

Solution

The correct option is C
$64 c m^{3}$

Total surface area of cube = $6 (e d g e)^{2}$
$∴ 6 (e d g e)^{2} = 96 \Rightarrow 6 (e d g e)^{2} = 96 \div 6 = 16$
$∴ e d g e = \sqrt{16} = 4 c m$
Hence, volume of cube $= (e d g e)^{3}$
$= (4)^{3} = 64 c m^{3}$

Suggest Corrections

Similar questions

96 c m^{2}

8 c m^{3}

512 c m^{3}

64 c m^{3}

27 c m^{3}

16 \sqrt{2} c m^{3}

The total surface area of a cube is 150 cm². Its volume is
(a) 216 cm³
(b) 125 cm³
(c) 64 cm³
(d) 1000 cm³

The volume of a cube of side $\frac{9}{2}$ cm is ______.

The lateral surface area of a cube is 100 m². The volume of the cube is:

Join BYJU'S Learning Program