Question

A cube is made of 24389 centimeter cube of wood. What is the measure of it's each edge ?​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

The volume of cube=24389 cm cube

To find:

The edge of the cube

Solution:

The edge of the cube is 29 cm.

We can find the edge by following the steps given below-

We know that the volume of a cube is the cube of its edge.

So, the volume of the cube=$edge^{3}$

Let the edge of the cube be A

The volume of cube=$A^{3}$

We are given that the volume of the cube is 24389 $cm^{3}$.

On putting the values,

24389=  $A^{3}$

We can find the value of the edge by taking the cube root of the volume.

$\sqrt[3]{24389}$=A

29=A

So, the edge of the cube=29 cm.

Therefore, the edge of the cube is 29 cm.