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

Similarity between both the figures is that both have the same heights. 
The difference between the two figures is that one is a cylinder, and the other is a cube.
Lateral surface area of the cube = 4l² 
= 4 (7 cm)² 
= 196 cm² 
Lateral surface area of the cylinder \(= 2\pi rh \)
\(=(2\times\frac{22}{7}\times \frac{7}{2}\times7)\) cm² 
= 154 cm² 
Hence, the cube has larger lateral surface area.