Q 4 Here is an incomplete net for making a cube. Complete it in at least two different
ways. Remember that a cube has six faces. How many are there in the net here?
(Give two separate diagrams. If you like, you may use a squared sheet for easy
Q 2 Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate
the number of dots in that box.
Insert suitable numbers in the blanks, remembering that the number on the
opposite faces should total to 7.
Draw a view of each solid as seen from the direction indicated by the arrow.
For each solid, the three views (1), (2), (3) are given. Identify for each solid the corresponding top, front and side views.
Q. 3. Examine if the following are true statements:
(i) The cube can cast a shadow in the shape of a rectangle.
(ii) The cube can cast a shadow in the shape of a hexagon.
Q. 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
Three cubes each with 2 cm edge are placed side by side to form a cuboid. Try to make an oblique sketch and say what could be its length, breadth and height.
Two dice are placed side by side as shown: Can you say what the total would be on the face opposite to
(a) 5 + 6 (b) 4 + 3
(Remember that in a die sum of numbers on opposite faces is 7)
Try to guess the number of cubes in the following arrangements (Fig 15.17).
Q. 5. Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long.
An isometric sheet is attached at the end of the book. You could try to make on it some cubes or cuboids of dimensions specified by your friend.
Q. 4. Make an oblique sketch for each one of the given isometric shapes:
Q. 3. Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.
Q. 2. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.
Q. 5. Match the nets with appropriate solids:
Q. 3. Can this be a net for a die? Explain your answer.
Q.1 Here you find four nets (Fig 15.10). There are two correct nets among them to make a tetrahedron. See if you can work out which nets will make a tetrahedron.
Complete the following table: