# Exercise 15.3 Visualizing Solid Shapes NCERT Solutions Class 7

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## Chapter 15 Ex.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

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.