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Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?

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answer is 1.

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Detailed Solution

Cylinder: d = 1 cm, h = 7 cm

Cube: Length of each side a = 7 cm

The two given figures are cylinder and cube. Both figures are alike in respect of their same height and Both of the figures are different in respect of their shapes.

Lateral surface of cylinder = 2πrh

= 2 × 22/7 × 7/2 × 7 = 154 cm²

Lateral surface of the cube = 4l² = 4 × (7)² = 4 × 49 = 196 cm²

So, cube has the larger lateral surface.

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