Visualising Solid Shapes Test

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Visualising Solid Shapes Test - 9

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Question 1
1 / -0

A polyhedron is said to be ______ if its surface does not intersect itself.

A
concave

B
convex

C
non-convex

D
polygon

Solution

A polyhedron is said to be convex if its surface does not intersect itself.
Example: Tetrahedron: The surface does not intersect itself.
Question 2
1 / -0

Is sphere, a 2D or a 3D object?

A
$$2D$$

B
$$3D$$

C
Does not exist in both planes

D
None of the above

Solution

2D shapes stand for 2 dimensional shapes. It has only two measurements that are length and breadth.
Examples for 2 dimensional objects are square, rectangle, etc.

3D shapes stand for 3 dimensional shapes. It has three measurements that are length, breadth and height.
Examples for 3 dimensional objects are cube, etc.

Therefore, a sphere is a geometrical object in perfectly round three dimensional shape similar to a round ball you might play sport with it.
Question 3
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A ________ is a three dimensional figure made up of sides called faces, each face being a polygon.

A
triangle

B
polyhedron

C
cube

D
prism

Solution

A polyhedron is a three dimensional figure made up of sides called faces, each face being a polygon.
Cube is a polyhedron.
Question 4
1 / -0

Which solid does not have any vertex?

A
Cube

B
Pyramid

C
Cylinder

D
Cone

Solution

A cylinder doesn't have any vertex.
Question 5
1 / -0

_________ are the solids with identical regular polygons as their faces.

A
square

B
regular polyhedron

C
concave polyhedron

D
irregular polyhedron

Solution

Regular Polyhedrons are the solids with identical regular polygons as their faces.
Example: Octahedron is a regular polyhedron as the faces of this octahedron are congruent and are regular polygons.
Question 6
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Polygons that are made up of regular polygons are called

A
square

B
irregular polyhedron

C
concave polyhedron

D
regular polyhedron

Solution

Polygons that are made up of regular polygons are called regular polyhedron.
Example: A cube is a platonic solid because all six of its faces are congruent squares.
Question 7
1 / -0

Piya glued $$4$$ white cubes together as shown. Then she painted the entire object red.
How many faces of the $$4$$ cubes were painted red?

A
$$4$$

B
$$9$$

C
$$18$$

D
$$24$$

Solution

We need to count the number of the faces outside, they will be the ones colored red.
There are $$4$$ faces each on the front, back, upper and down sides.
And $$1$$ faces each on side faces.
So there are in total $$4\times 4 + 2$$, i.e. $$18$$ faces coloured red.
Question 8
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Polyhedrons that are made up of convex polygons are called

A
non-convex polyhedron

B
concave polyhedron

C
non-concave polyhedron

D
convex polyhedron

Solution

Polygons that are made up of convex polygons are called convex polyhedron.
Example: Cube
Question 9
1 / -0

What do you call solid figures having only line segments as their edges?

A
Polygons

B
Squares

C
Cylinders

D
Polyhedrons

Solution

Solid figures having only line segments as their edges are called polyhedrons.
Question 10
1 / -0

In which polyhedron faces are congruent regular polygons and the same number of faces meet at each vertex?

A
Regular Polyhedron

B
Irregular Polyhedron

C
Concave Polyhedron

D
Convex Polyhedron

Solution

A polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex.
Example: Octahedron is a regular polyhedron as the faces of this octahedron are congruent and are regular polygons.