Math, asked by dipeshsingh53, 3 months ago

If volume of a cube is 216 cm , find the measure of its side.​

Answers

Answered by TheBrainliestUser
9

Answer:

The measure of its side = 6 cm

Step-by-step explanation:

Given that:

Volume of a cube is 216 cm³

To find:

The measure of its side.

Formula used:

Volume of cube = a³ cubic unit

Where,

Side of a cube is denoted by a.

Finding the measure of its side:

→ a³ = 216

→ a³ = 6³

→ a = 6

∴ Side of cube = 6 cm

More formulae related to cube:

Total surface area = 6a² sq. unit

Curved/Lateral surface area = 4a² sq. unit

Answered by thebrainlykapil
38

Given :-

  • Shape of Object = Cube
  • The Volume of Cube = 216cm³

 \\  \\

To Find :-

  • The Measure of its Side.

 \\  \\

Solution :-

➟ Volume of cube = Side × Side × Side

➟ Volume of cube = (Side)³

➟ 216 = (Side)³

➟ ³√216 = Side

➟ 6cm = Side

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Verification :-

➟ Volume of cube = (Side)³

➟ Volume of cube = Side × Side × Side

➟ 216 = 6 × 6 × 6

➟ 216 = 36 × 6

➟ 216 = 216

Hence, Verified

________________

Therefore, Side of Cube is 6cm

________________

Additional Info :

Formulas Related to Cube ;

  • Curved Surface Area of cube = 4a²
  • Total Surface Area of cube = 6a²
  • Volume of cube = a³

________________

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