Question

if the surface area of cube is 294 CM square then what is its volume
Who will tell right I will mark you as brainliest
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Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Volume\:of\:cube=343\:cm^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given:}} \\ \tt: \implies T.S.A \: of \: cube = 294 \: {cm}^{2} \\ \\ \red{ \underline \bold{To \: Find:}} \\ \tt: \implies Volume \: of \: cube =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies T.S.A \: of \: cube = 294 \: {cm}^{2} \\ \\ \tt: \implies 6 {a}^{2} = 294 \\ \\ \tt: \implies {a}^{2} = \frac{294}{6} \\ \\ \tt: \implies {a}^{2} = 49 \\ \\ \tt: \implies a = \sqrt{49} \\ \\ \green{\tt: \implies a = 7 \: cm} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cube = {a}^{3} \\ \\ \tt: \implies Volume \: of \: cube = {7}^{3} \\ \\ \green{\tt: \implies Volume \: of \: cube = 343 \: {cm}^{3} }$

Answer 2

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❏ Question:-

@ If the surface area of cube is 294 CM square then what is its volume ?

$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\put(11.1,7.5){ a\:cm }\end{picture}$

❏ Solution:-

✏ Given:-

• Surface area = 294 cm²

✏ To Find:-

• Volume of the cube = ?

✏ Explanation :-

Let, the side of the cube is = a cm.

Now ,

$\blacksquare \:\:\:\:\sf{\ \ {Area = 6\times a^2}}$

$\implies\sf{\ \ {294 = 6\times a^2}}$

$\implies\sf{\ \ {\dfrac{\csncel{294}}{\cancel6} = a^2}}$

$\implies\sf{\ \ {49 = a^2}}$

$\implies\sf{\ \ { a=\sqrt{49}}}$

$\implies\boxed{\sf{\ \ { a=7\:cm}}}$

Hence ,

$\blacksquare \:\:\:\:\sf{\ \ {Volume = a^3}}$

$\implies\sf{\ \ {Volume = 7^3 }}$

$\implies\boxed{\sf{\ \ {Volume = 343 \:\:cm^3}}}$

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