If volume of a cube is 216 cm , find the measure of its side.
Answers
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
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
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Therefore, Side of Cube is 6cm
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★ 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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