Q. 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 $7$.

Q. Can this be a net for a die? Explain your answer.

Q. Identify the nets which can be used to make cubes.(cut out copies of the nets and try it)

Q. 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 faces are there in the net here?(Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)

Q. Make an oblique sketch for the given isometric shape.

Q. Use isometric dot paper and make an isometric sketch for the given shape.

Q. Use isometric dot paper and make an isometric sketch for the given shape.

Q. 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. Given(i) an oblique sketch and (ii) an isometric sketch for the following.
A cube with an edge $4$cm long.

Q. Use isometric dot paper and make an isometric sketch for the given shape.

Q. The dimensions of a cuboid are $5$cm, $3$cm and $2$cm. Draw three different isometric sketches of this cuboid.

Q. Make an oblique sketch for the given isometric shape.

Q. Give (i) an oblique sketch and (ii) an isometric sketch for the following.
A cuboid of dimensions $5$cm, $3$cm and $2$cm. (Is your sketch unique?)

Q. 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
(c) A die
(d) A circular pipe
(e) An ice-cream cone.

Q. Here are the shadows of some $3$-D objects, when seen under the lamp of the overhead projector. Identify the solid(s) that match each shadow.
(There many be multiple answer for these!)

Q. A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.
(You may try to experiment first and then answer these question).

Q. Examine if the following is true statement.
The cube can cast a shadow in the shape of a hexagon.

1. True
2. False