Question

the surface area of a cube is 684cm².find its volume​

Answer 1

Answer:

a=8.8108cm^3

Step-by-step explanation:

it is the answer of the problem

Answer 2

$\; \star \; {\underline{\boxed{\pmb{\orange{\frak{ \; Given\; :- }}}}}}$

➺ Surface area of cube = 684m²

$\begin{gathered} \\ \\ \end{gathered}$

$\; \star \; {\underline{\boxed{\pmb{\red{\frak{ \; To \; Find \; :- }}}}}}$

➺ Volume = ?

$\begin{gathered} \\ \\ \qquad{\rule{200pt}{2pt}} \end{gathered}$

$\; \star \; {\underline{\boxed{\pmb{\purple{\frak{ \; SolutioN \; :- }}}}}}$

$❒ {\underline{\underline{\sf{ \; Formula \; Used \; :- }}}}$

${\; \longrightarrow \; {\underline{\boxed{\sf{ Surface Area_{(Cube)}=6a²}}}} \; \red\bigstar }$

${\; \longrightarrow \; {\underline{\boxed{\sf{ Volume_{(Cube)}=a³}}}} \; \red\bigstar }$

$\begin{gathered} \\ \end{gathered}$

Here :

➸ a = edge of the cube

$\begin{gathered} \\ \\ \end{gathered}$

$❒ {\underline{\underline{\sf{ \; Calculating \; the \; Side of cube\; :- }}}}$

${\; \longrightarrow \; {\underline{\sf{ Surface \: Area_{(Cube)}=6a²}}} \; \red\bigstar }$

${\; \longrightarrow \; {\sf{684=6a²}} \; \red\bigstar }$

${\; \longrightarrow \; {\sf{ \dfrac{684}{6}=a²}} \; \red\bigstar }$

${\; \longrightarrow \; {\sf{ \cancel \dfrac{684}{6}=a²}} \; \red\bigstar }$

${\; \longrightarrow \; {\sf{114 = a²}} \; \red\bigstar }$

${\; \longrightarrow \; {{ \pink{ \underline{ \boxed{ \frak{ \sqrt{114} m= a}}}}} }\; \red\bigstar }$

$❒ {\underline{\underline{\sf{ \; Calculating \; the \; Volume \: of\: the\: cube\; :- }}}}$

$\begin{gathered} \; \longmapsto \; \sf {Volume_{(Cube)}=a³} \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {Volume_{(Cube)}= (\sqrt{114} ) {}^3} \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {Volume_{(Cube)}= \sqrt{114} \times \sqrt{114} \times \sqrt{114} } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {Volume_{(Cube)}= 114 \times \sqrt{114} } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; {\underline{\boxed{\orange{\sf { Volume_{(Cube)}= 114 \sqrt{114}m {}^{3} }}}}} \; \bigstar \\ \\ \end{gathered}$

$\begin{gathered} \\ \\ \end{gathered}$

$\qquad \; \therefore$ The volume of the cube is 114√114 (approx)..

$\begin{gathered} \\ {\underline{\rule{300pt}{9pt}}} \end{gathered}$