Which of the two has larger lateral
surface area?
(a) Cube having a side of 14 cm.
(b) Cylinder having a base diameter of 14 cm and height 14 cm.
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1
Answer:
A cylinder and a cube
The similarity between the two are:
1.Height=7 cm
2.Length and diameter of bottom=7cm
The difference between the two:
cylinder has a circular base and cube has a square base.
lateral surface are of cylinder= 2\pi rh2πrh
=2\times\frac{22}{7}\times\frac{7}{2}\times72×
7
22
×
2
7
×7
=154\ cm^2=154 cm
2
Lateral surface area of cube==4l^2=4l
2
=4\times7\times7=4×7×7
=196\ cm^2196 cm
2
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