Question

The volume of a cube is 2197 cm3. Find the length of the edge of the cube​

Answer 1

Given :

• Volume of Cube is 2197 cm³ .

To Find :

• Edge of the cube .

Solution :

For Side :

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cube={a}^{3}}$

Putting Values :

$\longmapsto\tt{2197={a}^{3}}$

$\longmapsto\tt{3\sqrt{2197}=a}$

$\longmapsto\tt\bf{13\:cm}$

So , The Side of Cube is 13 cm .

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• Lateral Surface Area of Cube = 4a²
• Total Surface Area of Cube = 6a²
• Volume of Cube = a³
• Lateral Surface Area of Cuboid = 2h (l+b)
• Surface Area of Cuboid = 2(lb+bh+hl)
• Volume of Cuboid = l×b×h

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Answer 2

Answer:

Given :-

• The volume of a cube is 2197 cm³.

To Find :-

• What is the length of the edge of the cube.

Formula Used :-

$\clubsuit$ Volume Of Cube Formula :

$\mapsto \sf\boxed{\bold{\pink{Volume_{(Cube)} =\: (Side)^3}}}$

Solution :-

Given :

$\bigstar\: \: \bf{Volume_{(Cube)} =\: 2197\: cm^3}$

According to the question by using the formula we get,

$\longrightarrow \sf (Side)^3 =\: 2197$

$\longrightarrow \sf Side =\: \sqrt[3]{2197}$

$\longrightarrow \sf Side =\: 13$

$\longrightarrow \sf\bold{\red{Side =\: 13\: cm}}$

${\small{\bold{\purple{\underline{\therefore\: The\: length\: of\: the\: edge\: of\: the\: cube\: is\: 13\: cm\: .}}}}}$