Question

The volume of a cube is 9261000 cm³ then find the total surface area of the cube.​

Answer 1

Given:-

• The Volume of a Cube is 92,61,000 cm³.

To Find:-

• Total Surface Area of the Cube.

Formula Used:-

• ${\boxed{\bf{Volume\:of\:Cube= a^3}}}$

• ${\boxed{\bf{TSA\:of\:Cube= 6a^2}}}$

Solution:-

Firstly Using Formula,

$\bf :\implies\:Volume\:of\:Cube= a^3$

Putting value,

$\tt :\implies\:92,61,000= a^3$

$\tt :\implies\: a= \sqrt[3]{92,61,000}$

$\tt :\implies\:a=210\:cm$

Now Using Formula,

$\bf :\implies\:TSA\:of\:Cube= 6a^2$

Putting value,

$\tt :\implies\:TSA\:of\:Cube= 6\times 210^2$

$\tt :\implies\:TSA\:of\:Cube= 6\times 44,100$

$\tt :\implies\:TSA\:of\:Cube= 2,64,600\:cm^2$

Hence, The Total Surface Area of Cube is 2,64,600 cm².

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Answer 2

$A</p><p></p><p>≈</p><p></p><p>2.65×10 {}^{5} </p><p></p><p>cm²</p><p></p><p>$

$V</p><p></p><p> \: \tiny{Volume} \: = \huge{ {9261000 \: cm}^{3} }</p><p></p><p>$

$\pink{Using \: the \: formulas}$

$A</p><p></p><p>=</p><p></p><p> {6a}^{2} </p><p></p><p> \\ V</p><p></p><p>=</p><p></p><p> {a}^{3} </p><p></p><p>$

$\tt \pink{Solving \: for}</p><p></p><p> \\ A</p><p></p><p>$

$A</p><p></p><p>=</p><p></p><p> {6v}^{ ⅔} =</p><p></p><p>6</p><p></p><p>·</p><p></p><p> {(9.26× {10}^{6} )}^{⅔} \\ ≈</p><p></p><p>2.646× {10}^{5} </p><p></p><p>cm²</p><p></p><p></p><p></p><p></p><p></p><p>$