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MATHS M.C.Q. [1 Marks Each]

Visualising Solid Shapes · UP Board (UPMSP) STD 7 (UPMSP - English Medium). 170 questions.

Questions · Page 1 of 4

M.C.Q. [1 Marks Each]

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50 questions · timed · auto-graded

MCQ 11 Mark
The difference between a rectangle and a cube is:
  • A
    Rectangle is $B$ - dimensional and cube is $2$ - dimensional.
  • B
    Rectangle and cube are both $2$ - dimensional.
  • ✓
    Rectangle is $2$ - dimensional and cube is $3$ - dimensional.
  • D
    None of these.
Answer
Correct option: C.
Rectangle is $2$ - dimensional and cube is $3$ - dimensional.
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.
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MCQ 21 Mark
The number of edges of a square pyramid is _______.
  • A
    $4$
  • B
    $6$
  • ✓
    $8$
  • D
    None of these
Answer
Correct option: C.
$8$
The square pyramid has the square base and the triangular sides so it has four edges of the square and the four edges of the triangular shape.
So, in total a square pyramid has eight edges.
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MCQ 31 Mark
There are ……….. edges in a cube.
  • A
    $8$
  • ✓
    $12$
  • C
    $4$
  • D
    None of these
Answer
Correct option: B.
$12$
There are $12$ line segments that form the skelton of the cube.
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MCQ 51 Mark
What cross - sections do you get when you cut a candle vertically?
  • A
    Circle
  • B
    Triangle
  • ✓
    Rectangle
  • D
    Square
Answer
Correct option: C.
Rectangle
When we cut a candle vertically then the cross-section formed is a rectangle.
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MCQ 71 Mark
The number of faces of a triangular pyramid or tetrahedron is _______.
  • ✓
    $4$
  • B
    $6$
  • C
    $5$
  • D
    $1024$
Answer
Correct option: A.
$4$
There are no other convex polyhedra other than the tetrahedron having four faces.
The tetrahedron has two distinct nets (Buekenhout and Parker $1998$).
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MCQ 81 Mark
The given figure represents.
  • A
    Sphere
  • ✓
    Circle
  • C
    Cube
  • D
    Cuboid
Answer
Correct option: B.
Circle

The given figure represents a circle.

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MCQ 91 Mark
How many congruent faces does a cube have?
  • ✓
    $6$
  • B
    $3$
  • C
    $5$
  • D
    $4$
Answer
Correct option: A.
$6$
A cube has $6$ faces. An example of cube is a a dice where every face is numbered from one to six.
Thus a cube has $6$ congruent faces.
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MCQ 101 Mark
The number of edges of a rectangular pyramid is _______.
  • A
    $21$
  • ✓
    $8$
  • C
    $7$
  • D
    None of these
Answer
Correct option: B.
$8$
$8$
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MCQ 111 Mark
Which of the following solid object has both vertical and horizontal cross - sections same?
  • ✓
    Sphere
  • B
    Cube
  • C
    Cuboid
  • D
    Prism
Answer
Correct option: A.
Sphere

The sphere and cube have both vertical and horizontal cross - sections same.

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MCQ 121 Mark
What cross - sections do you get when you cut a brick vertically?
  • A
    Circle
  • B
    Triangle
  • C
    Cube
  • ✓
    None of these
Answer
Correct option: D.
None of these

When we cut a brick vertically then we get a rectangular cross - section.

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MCQ 131 Mark
Prisms and Pyramids are:
  • A
    Polygons
  • B
    Cubes
  • ✓
    Polyhedrons
  • D
    Spherical shapes
Answer
Correct option: C.
Polyhedrons
Two important members of polyhedron family are prism and pyramid.
A prism is a polyhedron with two congruent bases, in parallel planes, and the lateral sides are rectangles.
A pyramid is a polyhedron with one base and all the lateral sides meet at a common vertex.
The lateral sides are triangles.
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MCQ 151 Mark
Identify the statement that is false for a prism.
  • A
    A right prism has rectangular lateral faces.
  • B
    A right prism has two bases.
  • ✓
    A right prism has triangular lateral faces.
Answer
Correct option: C.
A right prism has triangular lateral faces.
A right prism has triangular lateral faces.
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MCQ 161 Mark
The number of edges of a square pyramid is _______.
  • A
    $4$
  • B
    $6$
  • ✓
    $8$
  • D
    None of these
Answer
Correct option: C.
$8$
$8$
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MCQ 171 Mark
Which geometric solid among the following has the maximum number of vertices?
  • A
    Cone
  • B
    Cylinder
  • ✓
    Cuboid
  • D
    Sphere
Answer
Correct option: C.
Cuboid

A cuboid has $8$ vertices, which is maximum among the given solids.
Hence from the above given geometric figures, it has the maximum number of vertices.

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MCQ 181 Mark
Three cubes each with $2\ cm$ edge are placed side by side to form a cuboid. Its length will be:
  • A
    $4\ cm$
  • B
    $2\ cm$
  • ✓
    $6\ cm$
  • D
    None of these
Answer
Correct option: C.
$6\ cm$
Each cube has one side $2\ cm$, therefore sum of three sides is $6\ cm$.
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MCQ 191 Mark
A cube has ______ faces.
  • A
    $4$
  • B
    $5$
  • ✓
    $6$
  • D
    $8$
Answer
Correct option: C.
$6$
A cube is a three - dimensional shape having six faces.
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MCQ 201 Mark
The ratio of the number of sides of a square and the number of edges of a cube is:
  • A
    $1 : 2$
  • ✓
    $1 : 3$
  • C
    $1 : 4$
  • D
    $2 : 3$
Answer
Correct option: B.
$1 : 3$
Number of sides of square $= 4$
Edges of cube $= 12$
$\therefore $ Ratio $= 4 : 12$
$\Rightarrow 1 : 3$
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MCQ 211 Mark
The lateral faces of a pyramid are____.
  • ✓
    Triangles
  • B
    Pentagons
  • C
    Rectangles
  • D
    None of these
Answer
Correct option: A.
Triangles
Triangles
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MCQ 221 Mark
The number of edges of a triangular pyramid is _______.
  • A
    $8$
  • B
    $5$
  • ✓
    $6$
  • D
    None of these
Answer
Correct option: C.
$6$
$6$
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MCQ 231 Mark
Three dimensional shapes have:
  • ✓
    Length, breadth, height
  • B
    Length, breadth
  • C
    Breadth height
  • D
    None of these
Answer
Correct option: A.
Length, breadth, height

Which occupy space and have three demensions.

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MCQ 241 Mark
There are ……….. edges in a cube.
  • A
    $8$
  • ✓
    $12$
  • C
    $4$
  • D
    None of these
Answer
Correct option: B.
$12$
There are $12$ line segments that form the skelton of the cube.
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MCQ 251 Mark
Identify the correct statement from the following.
  • A
    A triangle has $3$ sides and $4$ vertices.
  • ✓
    A cylinder has $3$ faces.
  • C
    All sides of the rectangle are equal.
  • D
    A cuboid has $4$ flat faces and $12$ straight edges.
Answer
Correct option: B.
A cylinder has $3$ faces.
A cylinder has $3$ faces.
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MCQ 261 Mark
For a polyhedron, if $‘F’$ stands for number of faces, $V$ stands for number of vertices and $E$ stands for number of edges, then which of the following relationships is named as Euler’s formula?
  • ✓
    $F + V = E + 2$
  • B
    $F + E = V + 2$
  • C
    $V + E = F + 2$
  • D
    $F + V = E - 2$
Answer
Correct option: A.
$F + V = E + 2$
We know that Euler's formula is given as: $F +V = E + 2$
where $F$ is the total number of Faces in the given solid.
$V$ is the total number of the vertices.
$E$ is the total number of edges.
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MCQ 271 Mark
The number of faces of a rectangular prism is _______.
  • A
    $4$
  • ✓
    $6$
  • C
    $3$
  • D
    None of these
Answer
Correct option: B.
$6$
$6$
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MCQ 281 Mark
What is the shape of each face of a cuboid?
  • ✓
    Rectangular
  • B
    Circular
  • C
    Hyperbolic
  • D
    Eliptical
Answer
Correct option: A.
Rectangular
The face of cuboid is in the shape of a rectangle.
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MCQ 291 Mark
Cuboid is an example of:
  • A
    Both
  • B
    $2 - D$ shape
  • ✓
    $3 - D$ shape
  • D
    None of these
Answer
Correct option: C.
$3 - D$ shape
$3 - D$ shape
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MCQ 301 Mark
Cube has $6$ flat faces and _________ straight edges.
  • A
    $6$
  • B
    $8$
  • C
    $10$
  • ✓
    $12$
Answer
Correct option: D.
$12$
cube has $12$ edges.
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MCQ 311 Mark
Which of the following is the number of vertices of sphere?
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $4$
Answer
Correct option: A.
$0$
$0$
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MCQ 321 Mark
Cuboid has _______ flat faces.
  • A
    $4$
  • B
    $5$
  • ✓
    $6$
  • D
    $3$
Answer
Correct option: C.
$6$
A cuboid has $6$ flat square faces.
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MCQ 341 Mark
What cross - section do you get when you give a horizontal cut to a die?
  • ✓
    Square
  • B
    Rectangle
  • C
    Triangle
  • D
    Circle
Answer
Correct option: A.
Square
Square
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MCQ 351 Mark
The number of edges of a rectangular pyramid is _______.
  • A
    $21$
  • ✓
    $8$
  • C
    $7$
  • D
    None of these
Answer
Correct option: B.
$8$
$8$
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MCQ 371 Mark
The number of triangular faces of a triangular prism is _______.
  • ✓
    $2$
  • B
    $1$
  • C
    $4$
  • D
    None of these
Answer
Correct option: A.
$2$
$2$
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MCQ 381 Mark
A square pyramid always has …………..
  • A
    Four lateral faces, which are parallel to each other.
  • B
    Four lateral faces, which are congruent equilateral triangles and a rectangular base.
  • C
    Two bases which are congruent and parallel.
  • ✓
    Four lateral faces, which are congruent isosceles triangles and a square base.
Answer
Correct option: D.
Four lateral faces, which are congruent isosceles triangles and a square base.
All square pyramids have: a square base, four triangular sides, five vertices, eight edges.
A square pyramid can be called a pentahedron because it has five faces: four triangle faces and one square face.
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MCQ 391 Mark
What cross - sections do you get when you cut a die vertically?
  • A
    Rectangle
  • B
    Triangle
  • C
    Circle
  • ✓
    Square
Answer
Correct option: D.
Square
When we cut a die vertically then we get a square cross - section.
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MCQ 401 Mark
Identify the correct statement from the following.
  • A
    A triangle has $3$ sides and $4$ vertices.
  • ✓
    A cylinder has $3$ faces.
  • C
    All sides of the rectangle are equal.
  • D
    A cuboid has $4$ flat faces and $12$ straight edges.
Answer
Correct option: B.
A cylinder has $3$ faces.
A cylinder has $3$ faces.
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MCQ 411 Mark
The number of faces of a rectangular prism is _______.
  • A
    $4$
  • ✓
    $6$
  • C
    $3$
  • D
    None of these
Answer
Correct option: B.
$6$
A rectangular prism is a $3 - d$ solid shape that has $6$ rectangular faces in which all the pairs of opposite faces are congruent.
It has $8$ vertices, $6$ faces, and $12$ edges.
A few real - life examples of a rectangular prism include rectangular fish tanks, shoe boxes, etc.
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MCQ 421 Mark
The top - view of a cube looks like a:
  • A
    Circle
  • ✓
    Square
  • C
    Rectangle
  • D
    Triangle
Answer
Correct option: B.
Square
Square
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MCQ 431 Mark
What do you call solid figures with line segments as their edges?
  • A
    Polygons
  • B
    Squares
  • C
    Cylinders
  • ✓
    Polyhedrons
Answer
Correct option: D.
Polyhedrons
Polyhedrons
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MCQ 441 Mark
Three dimensional shapes have:
  • ✓
    Length, breadth, height
  • B
    Length, breadth
  • C
    Breadth height
  • D
    None of these
Answer
Correct option: A.
Length, breadth, height
Which occupy space and have three demensions.
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MCQ 451 Mark
How many triangles would you find in a net that folds into a square pyramid?
  • A
    $3$
  • ✓
    $4$
  • C
    $5$
  • D
    $6$
Answer
Correct option: B.
$4$
$4$
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MCQ 471 Mark
Triangle has _______ sides and three vertices.
  • ✓
    Three
  • B
    Four
  • C
    Two
  • D
    Six
Answer
Correct option: A.
Three
A polygon made up of three sides is known as triangle.
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MCQ 481 Mark
The number of faces of a rectangular prism is _______.
  • A
    $4$
  • ✓
    $6$
  • C
    $3$
  • D
    None of these
Answer
Correct option: B.
$6$
$6$
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MCQ 501 Mark
What cross - section do you get when you give a horizontal cut to a round apple?
  • ✓
    Circle
  • B
    Square
  • C
    Rectangle
  • D
    Triangle
Answer
Correct option: A.
Circle
Circle
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