Question

The volume a cubical box is 19.683 cm cube?. Find the length of each side of the box.​

Answer 1

Answer:

length of each side is 2.7 cm

Answer 2

Before, finding the answer. Let's find out what we have to find in this answer.

• In this question, we are asked to find the length of each side of the box.​

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Given :

• Volume a cubical box = 19.683 cm

To find :

• the length of each side of the box

Steps :

• Here, to find the length of each side of the box, we have to find the cube root of the volume of the box.

Solution :

⇒ Let's find the length of each side. For that, let's find the Root cube.

Volume = s³

19.683 = s³

        s = ∛19.683

           = 2.7

⇒ Let's find the cube root.

∛19.683 = ∛19.683/1000

              = ∛19683/∛1000

              = ∛19683/∛10

              = ∛19683/10

19683 = 3 | 19683

          = 3 | 6561

          = 3 | 2187

          = 3 | 729

          = 3 | 243

          = 3 | 81

          = 3 | 27

          = 3 | 9

          = 3 | 3

          =    | 1

19683 = 3⁹

∛19683 = ∛3⁹

∛19683 = 3³

              = 27

⇒ ∛19683/10

= 27/10

= 2.7

Therefore, the length of the cubical box is 2.7 cm.