SURFACE AREAS AND VOLUMES Test

SURFACE AREAS AND VOLUMES

This is SURFACE AREAS AND VOLUMES Test-05 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The plural form of ‘frustum’ is
  • A
    none of these
  • B
    frusta
    Correct
  • C
    frustums
  • D
    frustum
2
The length of the diagonal of a cuboid of dimensions 5cm by 4cm by 3cm is
  • A
    \(5\sqrt 2 \)
    Correct
  • B
    \(\sqrt 2 \)
  • C
    \(\sqrt 5 \)
  • D
    \(2\sqrt 5 \)
3
The ratio of the volumes of two spheres is 8 : 27. The ratio of their surface areas is
  • A
    4 : 9
    Correct
  • B
    8 : 27
  • C
    9 : 4
  • D
    2 : 3
4
The longest rod that can be placed inside the cube is
  • A
    \(\sqrt 3 {\text{ edge}}\)
    Correct
  • B
    3 edge
  • C
    \(\sqrt 2 {\text{ edge}}\)
  • D
    \(\sqrt 5 {\text{ edge}}\)
5
A plumbline is combination of
  • A
    a hemisphere and a cylinder
  • B
    a hemisphere and a cone
    Correct
  • C
    a sphere and a cylinder
  • D
    a cone and a cylinder
6
A cylindrical pencil sharpened at one edge is the combination of
  • A
    a hemisphere and a cylinder
  • B
    a cone and a hemisphere
  • C
    a frustum of a cone and a cylinder
  • D
    a cone and a cylinder
    Correct
7
A cylindrical cone sharpened on both the edges is the combination of
  • A
    a hemisphere and a cylinder
  • B
    a cone and a hemisphere
  • C
    a frustum of a cone and a cylinder
  • D
    two cones and a cylinder
    Correct
8
A shuttle cock has the shape of
  • A
    a cone and a hemisphere
  • B
    a hemisphere and a cylinder
  • C
    a frustum of a cone and a cylinder
  • D
    a frustum of a cone and a hemisphere
    Correct
9
A right circular cylinder of radius ‘r’ units and height ‘h’ units just encloses a sphere of diameter
  • A
    4r units
  • B
    r units
  • C
    3r units
  • D
    2r units
    Correct
10
In a circular cone, the cross section made by a plane parallel to the base is
  • A
    cylinder
  • B
    circle
    Correct
  • C
    frustum of a cone
  • D
    square
11
The height of a right circular cone is 9cm and the radius of its base is 12cm. The slant height of the cone is
  • A
    16cm
  • B
    15cm
    Correct
  • C
    12cm
  • D
    10cm
12
The length of the diagonal of a cube that can be inscribed in a sphere of radius 5cm is
  • A
    5cm
  • B
    10cm
    Correct
  • C
    12cm
  • D
    20cm
13
Test tube available in a chemistry lab is a combination of
  • A
    a hemisphere and a cylinder
    Correct
  • B
    a cone and a cylinder
  • C
    a hemisphere and a cone
  • D
    none of these
14
The length of the diagonal of a cuboid of dimensions \({\text{l }} \times {\text{ b }} \times {\text{ h}}\) is
  • A
    \({l^2} + {b^2} + {h^2}\)
  • B
    \(l + b + h\)
  • C
    \(\sqrt {{l^2} + {b^2} + {h^2}} \)
    Correct
  • D
    \(\sqrt {l + b + h} \)
15
The length of the longest rod that can be placed in a cubiodal room of dimensions 15m by 12m by 9m is
  • A
    \(15\sqrt 3 m\)
  • B
    \(15\sqrt 2 m\)
    Correct
  • C
    15m
  • D
    12m