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

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 =\( 196 cm^2\).