Question

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

Answer 1

Both figures have the same heights.

Lateral surface area of cube $=4\times sid{e}^2=4\times 7\times 7=196$ sq cm

lateral surface area of cylinder $=2.\pi r.h=2\times \frac{22}{7}\times \frac{7}{2}\times 7=154$ sq cm

So, a cube has a larger surface area.