A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.

Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

**Macronutrient energy contribution**

The typical energy density (kcal/g) of these macronutrients is given in the table:

Macronutrient | Energy density (kcal/g) |
---|---|

Carbohydrates | 4 |

Proteins | 4 |

Unsaturated fat | 9 |

Saturated fat | 9 |

Trans fat | 9 |

The total fat (all three types), in grams, this person consumes is

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

The least number of squares to be added in the figure to make AB a line of symmetry is