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

The first picture is of a cylinder.

Diameter of cylindrical box = 7 cm

Height of cylindrical box (h) = 7 cm

Then radius of cylindrical box (r) = 72 cm

Lateral surface area of cylindrical box = 2πrh

`= 2 × 22/7 × 7/2 × 7`

=154 cm²

And lateral surface area of the cubical box = 4× side²

= 4 × (7)²

= 196 cm²

Hence, it is clear that out of the lateral surface areas of the two, the lateral surface area of the cubical box is greater.