Question

The surface area of a cube is 1176cm? Find its volume.​

Answer 1

Answer:

= 2744 cm cube

Step-by-step explanation:

Let us assume the edge of the cube be a

We know that,

Total surface area of the cube = 6a2

6a2 = 1176 cm2

a =

a =

a = 14 cm

We also know that,

Volume of the cube = a3 = (14)3

= 2744 cm3

Answer 2

$\Huge{\underline{\underline{\blue{\mathfrak{ Answer }}}}}$

$\\ \sf \rightarrow 2744\ cm^{3}$

$\rule{200}{1.7}$

$\large \fbox{ \: \sf \blue{ Solution : -} \: \sf \underline}$

$\bf {Given} :-\\\\\sf Area = 1176\ cm\\\\\bf {To\ Find} :- \\\\\sf Volume$

$\sf {Let\ the\ side\ of\ cube\ be\ a\ cm}$

$\sf V = a^{3}$

$\sf Surface\ area\ of\ cube\ =\ 1176\ cm^{2} \\\\6a^{2}  = 1176\\\\a^{2} = \frac{1176}{6}\\\\a^{2} = 196\\\\a = \sqrt{196}\\\\a = 14 cm$

$\Huge{{\blue{\mathcal{ BHAI }}}$