Visualizing Solid Shapes

Question

Can this be a net for a die?

Explain you answer

Answer

The given net can be folded as follows.

It can be observed that the opposite faces of the dice so formed have 2 and 5, 1 and 4, 3 and 6 on them. The sum of the numbers on the opposite faces comes to 7, 5, 9 respectively. However, in case of a dice, the sum of the numbers on the opposite faces should be 7. Hence, this net is not of a dice.

Sponsor Area

Some More Questions From Visualizing Solid Shapes Chapter

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

wiredfaculty.com

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.

 wiredfaculty.com

Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

Can this be a net for a die?

Explain you answer

 wiredfaculty.com

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 manipulation.) wiredfaculty.com

Match the nets with appropriate solids:

(a)

 wiredfaculty.com

(i)

 wiredfaculty.com

(b)

 wiredfaculty.com

(ii)

 wiredfaculty.com

(c)

 wiredfaculty.com

(iii)

 wiredfaculty.com

(d)

 wiredfaculty.com

(iv)

 wiredfaculty.com

Use isometric dot paper and make an isometric sketch for each one of the given shapes:

 wiredfaculty.com

 wiredfaculty.com

(i)

(ii)

 wiredfaculty.com

 wiredfaculty.com

(iii)

(iv)

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

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.

Make an oblique sketch for each one of the given isometric shapes:

 wiredfaculty.com

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.

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