Selina Concise Mathematics class 7 ICSE Solutions – Recognition of Solids (Representing 3-D in 2-D)
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Identify the nets which can be used to form cubes
Nets for a cube are (ii) , (iii) and (v).
Draw at least three different nets for making cube.
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.
Using Euler’s formula, find the values of a, b, c and d.
(i) a + 6 – 12 = 2 ⇒ a = 2 – 6 + 12 = 14 – 6 = 8
(ii) b + 5- 9 = 2 ⇒6 = 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
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.
The following figures represent nets of some solids. Name the solids
The given nets are of the solid as given below :
Draw a map of your class room using proper scale and symbols for different objects.
Draw a map of your school compound using proper scale and symbols for various features like play ground, main building, garden, etc.
In the map of India, the distance between two cities is 13.8 cm.
Taking scale : 1 cm = 12 km, find the actual distance between these two cities.
The scale for a map is given to be 1 cm = 12 km
The distance between these two cities = 13.8 cm on the map
∴ Actual distance between these two cities
= 12 x 13.8 km = 165.6 km