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


Answer :

The two figures given differ in their shapes.One of them is cylinder and the other is cube.

Similarity: Both the given figures have the same height.

Given, Cylinder: d = 1 cm, h = 7 cm

Cube: Length of each side a = 7 cm

So, Lateral surface of cylinder = 2\(\pi \)rh

\(= 2 \times \frac { 22 }{ 7 }\times \frac { 7 }{ 2 } \times 7 = 154 cm^2\)

Also, the Lateral surface of the cube =\( 4l^2 = 4 \times (7)^2 = 4 \times 49 = 196cm^2\)

So, the cube has the larger lateral surface =\( 196 cm^2\).