Test: Visualising Solid Shapes- 2

QUESTION: 1

Gaurav wants to make a pentagonal pyramid. How many triangles does he need to make the object?

A.
2
B.
3
C.
5
D.
4

Solution:

QUESTION: 2

Find the side of a cube whose surface area is 2400 cm².

A.
20 cm
B.
15 cm
C.
10 cm
D.
25 cm

Solution:

Surface area of a cube = 6l², where l is the length of its side
2400= 6l²
l²= 2400/6
l² = 400 = 20²
l = 20 cm

QUESTION: 3

Which of the statements is false for a pyramid?

A.
A pyramid can have only rectangular base.
B.
A pyramid has triangular faces.
C.
A pyramid is named by the shape of its base.
D.
A pyramid has a polygonal base.

Solution:

QUESTION: 4

Which of the statements is true?

A.
The square pyramid has 4 triangular faces and 1 square base.
B.
The triangular prism has 4 triangular faces and 1 square base.
C.
The triangular prism has 3 triangular faces and 2 square bases.
D.
The square pyramid has 4 triangular faces and 2 square bases.

Solution:

A square pyramid is a pyramid with a square base. So it has 4 triangular faces and 1 square base.

QUESTION: 5

Which of the following can be calculated only for a cone but not for a cylinder?

A.
base area
B.
curved surface area
C.
slant height
D.
volume

Solution:

QUESTION: 6

Which of the following statements is true?

A.
The lateral faces of a square prism are triangles.
B.
The lateral faces of a triangular prism can be squares or rectangles.
C.
The lateral faces of a square pyramid can be squares.
D.
The lateral faces of a triangular pyramid can be squares or rectangles.

Solution:

QUESTION: 7

Identify the statement that is false for a prism.

A.
A right prism has rectangular lateral faces.
B.
A right prism has two bases.
C.
A right prism has triangular lateral faces.
D.
A right prism has identical parallel faces.

Solution:

QUESTION: 8

Identify the statement that is true.

A.
A cylinder has two rectangular bases.
B.
A cone has one circular base.
C.
A cone has one rectangular base.
D.
A cylinder has three circular bases.

Solution:

QUESTION: 9

The faces of a square prism consist of

A.
1 square and 4 triangles
B.
6 squares
C.
1 square and 3 rectangles
D.
2 squares and 4 rectangles

Solution:

QUESTION: 10

A three dimensional shape is _________ object.

A.
solid
B.
2d
C.
plane
D.
None of these

Solution:

Solid geometry is the traditional mane of the geometry of three-dimensional

QUESTION: 11

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.
D.
Four lateral faces, which are congruent isosceles triangles and a square base.

Solution:

QUESTION: 12

The faces of a triangular pyramid consist of

A.
1 square and 3 triangles
B.
2 triangles and 3 rectangles
C.
4 triangles
D.
2 rectangles and 3 triangles

Solution:

There are 4 triangles in a triangular pyramid
A triangular pyramid is a pyramid with a triangle as a base and three triangular faces. It has four vertices or points and six edges.

QUESTION: 13

The faces of a pentagonal pyramid consist of

A.
2 pentagons and 5 triangles
B.
2 pentagons and 5 rectangles
C.
one pentagon and 5 triangles
D.
1 pentagon and 5 rectangles

Solution:

QUESTION: 14

What is the name of this solid?

A.
a square prism
B.
a tetrahedron
C.
a cone
D.
a square pyramid

Solution:

QUESTION: 15

Which is the three-dimensional figure formed by rotating a triangle?

A.
Cone
B.
Quadrilateral
C.
Prism
D.
Square

Solution:

QUESTION: 16

The faces of a cube consist of

A.
8 squares
B.
4 squares and 2 rectangles
C.
2 squares and 4 rectangle
D.
6 squares

Solution:

QUESTION: 17

How many circular bases does a cylinder have?

A.
2
B.
3
C.
4
D.
1

Solution:

A cylinder is similar to a prism, but its two bases are circles, not polygons. Also the sides of a cylinder are curved, not flat.
There are 2 circular bases 1 on top and 1 on bottom.

QUESTION: 18

A cylinder has ____.

A.
two bases which are congruent triangles.
B.
two bases which may or may not be congruent.
C.
one base which is a circle.
D.
two bases which are congruent circles.

Solution:

QUESTION: 19

A hexagonal pyramid has ______.

A.
Two parallel bases, which are triangles.
B.
Eight triangular lateral faces and a hexagonal base.
C.
Six triangular lateral faces and two hexagonal bases.
D.
Six triangular lateral faces and a hexagonal base.

Solution:

QUESTION: 20

An octagonal prism has ____.

A.
24 edges and 16 vertices
B.
20 edges and 16 vertices
C.
24 edges and 15 vertices
D.
15 edges and 11 vertices

Solution:

20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Test: Visualising Solid Shapes- 2

Gaurav wants to make a pentagonal pyramid. How many triangles does he need to make the object?

Find the side of a cube whose surface area is 2400 cm².

Which of the statements is false for a pyramid?

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