1) The total surface area of a cube is 1176 cm2. Find its volume. Therefore, the volume of cube is 2744 cm3.
2) Let the side of a cube be a cm
As we know that
Volume of a cube with side a is a
3
Given volume of a cube is 729 cm
⟹a
=729
⟹a=9
Surface area of cube is 6a
2
=6×9
=486 cm
Volume of cube = a³
Surface area of cube = 6a²
We know that,
➙ 6a² = 1176
➙a² = 1176 /6
➙a² = 196
➙a = √196
➙a = 14
➙(14)³
➙2744 cm³
Thus , Volume of cube = 2744cm³
_______________________________
➙a³ = 729
➙a =√ 729
➙a = 9
We know that
surface area of cube = 6a²
→6 × 9²
→ 486cm²
Thus, Surface area of cube = 486cm²
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Answers & Comments
1) The total surface area of a cube is 1176 cm2. Find its volume. Therefore, the volume of cube is 2744 cm3.
2) Let the side of a cube be a cm
As we know that
Volume of a cube with side a is a
3
Given volume of a cube is 729 cm
3
⟹a
3
=729
⟹a=9
Surface area of cube is 6a
2
=6×9
2
=486 cm
2
Verified answer
Required Answer :-
Formula :-
Volume of cube = a³
Surface area of cube = 6a²
Solution → 1
Given:-
To find :-
We know that,
Surface area of cube = 6a²
➙ 6a² = 1176
➙a² = 1176 /6
➙a² = 196
➙a = √196
➙a = 14
Volume of cube = a³
➙(14)³
➙2744 cm³
Thus , Volume of cube = 2744cm³
_______________________________
Solution → 2
Given :-
To find :-
We know that,
Volume of cube = a³
➙a³ = 729
➙a =√ 729
➙a = 9
We know that
surface area of cube = 6a²
→6 × 9²
→ 486cm²
Thus, Surface area of cube = 486cm²