if each edge of a cube is doubled. how many times the will it's volume increase?
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Solution:-
Let the original side of the cube be x cm and v¹= volume of the cube= x³cm³
So when the sides are getting doubled, each side of the cube will become (2x) cm.
Let the v²= volume of new cube=
(2x)³ cm³
8x³ cm³
Thus, we have v²/v¹= 8x³/x³= 8 ➽ v²= 8 × v¹
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Therefore, the new volume is 8 times the original volume.
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Some important formulae:
- Lateral surface area (LSA) of cube= 4s²
- Total surface area (TSA) of cube= 6l²
- Volume of cuboid= l×b×h
- Volume of cylinder= πr²×h
- Total surface area (TSA) of cylinder= 2πrh+2πr²
- Curved surface area (CSA) of a cylinder= 2πr×h
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particle start motion from rest according to formula θ=(t4/60)- (t/4). Then the angular velocity and angular acceleration at time t=10s.
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