Question

find the edge of a cube whose volume is 166.375 cm. give answer in explanation.​

Answer 1

GIVEN :

Volume of a cube = 166.375

Edge of the cube = ?

We know that,

Volume of Cube = a³

${a}^{3} = 166 .375 \\ \\ a = \sqrt[3]{166.375} \\ \\ a = 5.5cm$

Therefore, Edge of the cube is 5.5cm

Answer 2

The answer is 5.5 cm.

Given: Volume of the cube = 166.375 cm³

To Find: Edge of the cube

Solution:

Let the edge of the cube be x cm

The volume of the cube = $x^{3}$ cm³

$x^{3}$ = 166.375

⇒ x = $\sqrt[3]{166.375}$

  = 5.5

∴ The edge of the cube = 5.5 cm.

Answer) The edge of the cube is 5.5 cm.

Note

• A cube is a 3D square figure and hence its all sides are equal.

• Since a 3D figure has length, breadth, and height, the cube root is calculated to find the volume.

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