# Exercise 15.3 Visualizing Solid Shapes NCERT Solutions Class 7

Exercise 15.3

## Question 1

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

### Solution

**Video Solution**

**What is known?**

Different solids.

**What is unknown?**

What cross-sections we get if we cut it vertically and horizontally.

**Reasoning:**

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 |

**Steps:**

(a) A brick

**Vertical cut.** We will get \(2\) rectangle shape pieces of length half the length of brick but breath will be same

**Horizontal cut.** We will get \(2\) pieces of rectangle shape each of same length but with half the breath of the brick.

(b) A round apple

**Vertical cut.** We will get \(2\) semi-circle shape pieces of same diameter.

**Horizontal cut.** We will get \(2\) semi-circle shape pieces of same diameter.

(c) A dice

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

**Horizontal cut.** We will get \(2\) pieces of rectangular shape each of length equals to side of dice but breadth will be half of side of dice.

(d) A circular pipe

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

**Horizontal cut.** We will get \(2\) pieces of circular pipe but their height will be half of 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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