Question

The volume of a cube is 729 cubic cm. Find the length of its edge​

Answer 1

Answer:

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Step-by-step explanation:

we know that the length of the cube is a cm

Volume of a cube is a³

Here a³ = 729 cm³

$a = \sqrt[3]{729} \\ = > a = 9cm$

so the length of its edge is 9cm

Answer 2

Answer

• The length of the edge of the cube = 9 cm.

To Find

• The length of the edge of that cube.

Given

• Volume of cube = 729 cubic centimeters.

Step By Step Explanation

Given that the volume of a cube = 729 cubic centimeters.

We need to find the length of the edge of that cube.

So let's do it !!

Let us consider the length of the edge of that cube be x.

Now,

$\dag\boxed{ \bf{ \purple{Volume_{(Cube)} = {(Edge)}^{3} }}}$

By substituting the value

$\longmapsto\sf729 = {x}^{3} \\ \\\longmapsto\sf \sqrt[3]{729} = x \\ \\\longmapsto\bf 9\: cm = x$

Therefore the length of the edge of the cube = 9 cm.

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☆Extra Formulae

For a cube having each edge = a units, we have -

• Volume = a³ cubic units.

• Total surface area = 6a² sq. units.

• Lateral surface area = 4a² sq. units.

• Diagonal = √3a units.

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