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Q.

State true or false.


Cylinder box has larger lateral surface area then cube.


Question Image

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a

True

b

False 

answer is B.

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Detailed Solution

It is given a cylinder box and a cube.
Question ImageLateral surface area of cylinder =2πrh  
Diameter of cylinder, d = 7 cm
Height of cylinder, h = 7 cm
Therefore, the radius of cylinder, r= 7 2  
Lateral surface area of cylinder is;
2×π×r×h 2× 22 7 × 7 2 ×7 154c m 2  
Hence the lateral surface area of cylinder is Question Image……. (i)
Lateral surface area of a cube =4×sid e 2  
It is given that, the side of cube = 7 cm
Lateral surface area of cube is;
4×sid e 2 4× 7 2 196c m 2  
Hence lateral surface area of cube is Question Image…… (ii)
So, from (i) and (ii), it can be seen that the cube has a larger lateral surface area.
The cube has a larger lateral surface area.
Therefore, the given statement is false.
Hence option (2) is correct.
 
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