Math, asked by aditrisrivastava24au, 16 days ago

If the 6 faces of a cube have a total area of 150 cm?, what is the volume of the cube?​

Answers

Answered by Sweetoldsoul
2

Answer:

125 cm³

Step-by-step explanation:

A cube is famous for being a 3D object with all its sides equal.

There are six faces in a cube. And since it has equal edge lengths/ sides, all these faces are squares.

Let the edge length of the cube be 'a' units.

Area of one face = area of a square with side 'a'

= a²

Such 6 squares will have a total area of 150 cm².

==> 6a² = 150

==> a² = 25

==> a = 5 units/cm

Volume of a cube =

==> a³ = 5³

= 125 cu. units/ cms

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Yo! Hope this helps!

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