Question

A rectangular sheet of 120 mm x 160 mm can be used to develop the lateral surface of (a) A cylinder of radius 80/π (b) A square prism of side 40 mm (c) A hexagonal prism of side 20 mm (d) All of the above

Answer 1

option D is correct

Step-by-step explanation:

1) for a cylinder with radius is
`(80)/(\pi)`

lateral surface area of cylinder is
`2\pi rh`

`= 2\pi (80)/(\pi)*120`

= 160* 120

2) fro square prism with side 40 mm

lateral surface area = 4ah

= 4*40 * 120

= 160*120

3)for hexagonal with side 20 mm

lateral surface area = 6ah

= 6*20*160

=120* 160

therefore option D is correcrt