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.