1 Marks Question

Question 11 Mark

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.

Answer

A cube can cast shadow only in the shape of a square. So hexagon is not possible. Since a surface of cube is square from any view $($side or top view$).$ So both the statements are not true.

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Question 21 Mark

Give $(i)$ an oblique sketch and $(ii)$ an isometric sketch of a cube with an edge $4\ cm$ long.

Answer

-Oblique sketch for a cube of side $= 4\ cm$

Isometric sketch for the same cube-

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Question 31 Mark

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

Answer

Oblique and isometric sketch

No it won’t be unique. Since length, height and width are not mentioned. I can draw $2$ more figures. I can switch the three.

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Question 41 Mark

Make an oblique sketch for each one of the given isometric shapes?
$i.$

$ii.$

Answer

Oblique sketches:
$i.$

$ii.$

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Question 51 Mark

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.

Answer

Here is an oblique sketch-

Here is isometric sketch for three cubes of $2\ cm$ edge placed side by side.

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Question 61 Mark

Use isometric dot paper and make an isometric sketch for given shape:

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Question 71 Mark

Use isometric dot paper and make an isometric sketch for given shape:

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Question 81 Mark

Use isometric dot paper and make an isometric sketch for given shape:

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Question 91 Mark

Use isometric dot paper and make an isometric sketch for given shape:

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Question 101 Mark

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.)

Answer

Here we have given $3$ faces of cube, so we can implement other $3$ faces in this way to get a cube-

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Question 111 Mark

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

Answer

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.

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Question 121 Mark

Dice are cubes with dots on each face. Opposite faces of a dice 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 $7.$

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Question 131 Mark

Here is an oblique sketch of a cuboid [ In Fig]. Draw an isometric sketch that matches this drawing

Answer

Here is the solution [In Fig]. Note how the measurements are taken care of.

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