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# What cross-sections do you get when you give a

$(i)$ vertical cut

$(ii)$ horizontal cut to the following solids?

$(a)$ A brick

$(b)$ A round apple

$(c)$ A die

$(d)$ A circular pipe

$(e)$ An ice cream cone

**Given:**Different solids: $(a)$ A brick $(b)$ A round apple $(c)$ A die

$(d)$ A circular pipe $(e)$ An ice cream cone.

**To do: **To find the cross-section obtained when: $(i)$ vertical cut $(ii)$ horizontal cut is given to the solids.

**Solution:**

We know that if we give a cut ($vertical\ and\ horizontal)$ to a solid shape then we obtain different type of cross sections in different solids:

Shapes | Vertical Cut | Horizontal Cut |

Cube | 2 rectangular face shapes | 2 rectangular face shapes |

Cuboid | 2 rectangular face shapes | 2 rectangular face shapes |

Cylinder | 2 rectangular face shapes | 2 cylindrical shapes |

Sphere | 2 semi-circular face shapes | 2 semi-circular face shapes |

Cone | 2 triangular face shapes | 1 small cone and 1 frustum |

**$(a)$ A brick**

Vertical cut: We will get 2 rectangle shape pieces of length half the length of brick but the breath will be the same

**Horizontal cut: **We will get 2 pieces of rectangle shape each of the same lengths but with half the breadth of the brick.

**$(b)$ A round apple**

**Vertical cut: **We will get 2 semi-circle shape pieces of the same diameter.

**Horizontal cut: **We will get 2 semi-circle shape pieces of the same diameter.

**$(c)$ A dice**

**Vertical cut: **We will get 2 rectangular shape pieces of length half the side of the dice but the breath will be the same as the side of the dice.

**Horizontal cut: **We will get 2 pieces of rectangular shape each of length equal to the side of dice but breadth will be half of the side of dice.

**$(d)$ A circular pipe**

**Vertical cut: **We will get 2 rectangular shape pieces. Length will be equal to the height of the circular pipe and breadth will be equal to the diameter of the circular pipe

**Horizontal cut: **We will get 2 pieces of circular pipe but their height will be half of the original circular pipe

**$(e)$ An ice cream cone**

**Vertical cut: **We will get 2 triangular shape pieces

**Horizontal cut: **We will get 1 piece of small cone shape and 1 frustum shape piece.

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