## Selina Concise Mathematics Class 6 ICSE Solutions -Recognition of Solids

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**EXERCISE 31**

**Question 1.**

**Identify the nets which can be used to form cubes :**

**Solution:**

Nets for a cube are (ii), (iii) and (iv).

**Question 2.**

**Draw at least three different nets for making cube.**

**Solution:**

**Question 3.**

**The dimensions of a cuboid are 6 cm, 4 cm and 3 cm. Draw two different types of oblique sketches for this cuboid.**

**Solution:**

**Question 4.**

**Two cubes, each with 3 cm edge, are placed side by side to form a cuboid. For this cuboid, draw :**

**(i) an oblique sketch**

**(ii) an isometric sketch.**

**Solution:**

**Question 5.**

**The figure, given below, shows shadows of some 3D objects, when seen under the lamp of an overhead projector :**

**In each case, name the object.**

**Solution:**

**Question 6.**

**Look at the solids, drawn below, and fill the given chart.**

**Solution:**

**P. Q. Using Euler’s formula, find the values of a, b, c and d.**

**Solution:**

**(i)** a + 6 — 12 = 2 ⇒a = 2- 6+12 = 14-6 = 8

**(ii)** b + 5- 9 = 2 ⇒b-2 + 9-5 = 6

**(iii)** 20 + 12 – c = 2 ⇒ 32 – c = 2 ⇒ c = 32 – 2 ⇒ c = 30

**(iv)** 6 + d – 12 = 2⇒ d-6 = 2 ⇒ d = 2 + 6 = 8

**P.Q. Using an isometric dot paper, draw :**

**(i) a cube with each edge 3 cm.**

**(ii) a cuboid measuring 5 cm x 4 cm x 3 cm.**

**Solution:**

**Question 7.**

**Dice are cubes with dot or dots on each face. Opposite faces of a die always have a total of seven on them.**

**Below are given two nets to make dice (cube), the numbers inserted in each square indicate the number of dots in it.**

**Insert suitable numbers in each blank so that numbers in opposite faces of the die have a total of seven dots.**

**Solution:**

**Question 8.**

**The following figure represents mets of some solids. Name the solids.**

**Solution:**

The given nets are of the solid as given below :

**(i)** Tetrahedron

**(ii)** Triangular prism

**(iii)** Cube

**(iv)** Cuboid

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