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

Respuesta :

Answer:

option D is correct

Explanation:

1) for a cylinder with radius is[tex]\frac{80}{\pi}[/tex]

lateral surface area of cylinder is [tex]2\pi rh[/tex]

                                                   [tex]= 2\pi \frac{80}{\pi}*120[/tex]

                                                   = 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