Question

the surface area of a cube is 726m². The volume of the cube is
a) 1331m³
b) 1131m³
c) 1133m³​

Answer 1

Step-by-step explanation:

Correct Option: B

Surface area = 6a2 = 726

⇒ a2 = 121

⇒ a = 11 cm

∴ Volume of the cube = (11 x 11 x 11) cm3

= 1331 cm3

Answer 2

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \:Given:-}}}}$

$⇨ \footnotesize \text{\: Surface area of Cube =726m² }$

$\: \: \:$

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \:Find:-}}}}$

$⇨ \footnotesize \text{\: Volume of Cube =? }$

$\: \: \:$

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \:Formula we used:-}}}}$

$\: \: \:$

$⇨ \footnotesize \text{\: Surface areaof Cube = 6a²}$

$⇨ \footnotesize \text{\: Volume of Cube = a³}$

$\: \: \:$

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \:Solution:-}}}}$

$\: \: \:$

$⇨ \footnotesize \text{\: Surface area of Cube = 6a²}$

$⇨ \footnotesize \text{\:726m² = 6a²}$

$⇨ \footnotesize \text{ \: 726 / 6 = a²}$

$⇨ \footnotesize \text{ \:121 = a²}$

$⇨ \footnotesize \text{ \: √121 = a}$

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \: 11m = a}}}}$

$\:$

$⇨ \footnotesize \text{\: Volume of Cube = a³}$

$⇨ \footnotesize \text{\:Volume of Cube = 11 × 11 × 11}$

$\underline{\underline{ \boxed{⇨ \footnotesize \text \purple{ \:Volume of Cube = 1331m³}}}}$