Tag: open shapes of regular solids

Questions Related to open shapes of regular solids

The difference between a rectangle and a cube is

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Rectangle is B-dimensional and cube is 2-dimensional.

  2. Rectangle and cube are both 2-dimensional.

  3. Rectangle is 2-dimensional and cube is 3-dimensional.

  4. None of these

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Correct Option: C
Explanation:

The difference in rectangle and cube is that a rectangle is a 2-dimensional figure where the length and the breadth of the geometry are specified.

 A cube is a 3-dimensional figure where the length, breadth and depth of the geometry are specified.

Oblique sketches of solid shapes can be drawn as per measurements on _____ paper.

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. non-isometric

  2. isometric

  3. blank

  4. None of these

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Correct Option: B
Explanation:

Oblique sketches of solid shapes can be drawn as per measurements on isometric paper.

A cylinder has two faces which are ............

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Square

  2. Circle

  3. Sphere

  4. Triangle

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Correct Option: B
Explanation:

A cylinder has two circular faces.

What is the base of the cone?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Square

  2. Triangle

  3. Circle

  4. None of these

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Correct Option: C
Explanation:

The base of cone is a circle.

What cross-sections do you get when you cut a brick vertically?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Circle

  2. Triangle

  3. Cube

  4. None of these

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Correct Option: D
Explanation:

When we cut a brick vertically then we get a rectangular cross-section. Hence, option (D) is correct.

What cross-sections do you get when you cut a candle horizontally?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Rectangle

  2. Square

  3. Circle

  4. Triangle

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Correct Option: C
Explanation:

A circular cross-section is formed when we cut a candle horizontally.

If we rotate a right triangle about his height then we get a ..........

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. Rectangle

  2. Cube

  3. Cuboid

  4. Cone

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Correct Option: D
Explanation:

If we rotate a right triangle about its height then we get a cone.

Which of the following is true for the net of a solid?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. A geometry net is a 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid.

  2. A net is a pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure.

  3. A solid may have different nets.

  4. All of the above

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Correct Option: D
Explanation:
A geometry net is a 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid. Or a net is a pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure. A solid may have different nets.
Here are some steps to determine whether a net forms a solid:

1. Make sure that the solid and the net have the same number of faces and that the shapes of the faces of the solid match the shapes of the corresponding faces in the net. 
2. Visualize how the net is to be folded to form the solid and make sure that all the sides fit together properly.

Nets are helpful when we need to find the surface area of the solids.
Thus, all the statements are true.

How many squares does a net of a cube contain?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. $4$

  2. $6$

  3. $8$

  4. None of these

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Correct Option: B
Explanation:

There are six faces of a cube hence there are six squares.

How many rectangles are there in net of a rectangular prism?

maths open shapes of regular solids nets of a solid nets of three-dimensional shapes net of a cone

  1. 1

  2. 6

  3. 3

  4. 4

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Correct Option: D