find the side of a cube, whose surface area is 600 cm² also find the volume ?
Answers
Answered by
5
Answer:
Side = 10 cm
Volume = 1000 cm³
Step-by-step explanation:
Given :-
SA of cube = 600 cm²
To Find :-
Side
Volume
Solution :-
We know that
SA of cube = 6a²
600 = 6a²
600/6 = a²
100 = a²
√(100) = a
√(10 × 10) = a
10 = a
Now
Volume = a³
Volume = (10)³
Volume = (10 × 10 × 10)
Volume = 1000 cm³
Answered by
2
EXPLANATION.
Surface area of cube = 600 cm².
As we know that,
Formula of :
Surface area of cube = 6a².
Using this formula in the equation, we get.
⇒ 6a² = 600.
⇒ a² = 100.
⇒ a = √100.
⇒ a = 10.
Volume of cube = a³.
Volume of cube = 10 x 10 x 10 = 1000 cm³.
MORE INFORMATION.
(1) Volume of cuboid = L x B x H.
(2) Volume of cube = a³.
(3) Volume of cylinder = πr²h.
(4) Volume of cone = 1/3πr²h.
(5) Volume of hemisphere = 2/3πr³.
(6) Volume of sphere = 4/3πr³.
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