SURFACE AREAS AND VOLUMES Test

SURFACE AREAS AND VOLUMES

This is SURFACE AREAS AND VOLUMES Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The volume of the cuboid whose length, breadth and height is 12cm, 8cm and 6cm is
  • A
    576 cu.cm
    Correct
  • B
    576 sq.cm
  • C
    570 cu.cm
  • D
    568 cu.cm
2
The edge of the cube whose volume is 1728\(c{m }\) is
  • A
    18cm
  • B
    17cm
  • C
    72cm
  • D
    12cm
    Correct
3
The volumes of two spheres are in the ratio 125 : 64. The ratio of their surface areas is
  • A
    25 : 16
    Correct
  • B
    16 : 25
  • C
    16 : 9
  • D
    9 : 16
4
If the volume of a cube is 343 \(c{m }\) , then its edge is
  • A
    7cm
    Correct
  • B
    49cm
  • C
    8cm
  • D
    9cm
5
The maximum volume of a cone that can be carved out of a solid hemisphere of radius ‘r’ is
  • A
    \(\frac{1}{3}\pi {\text{ }}{r^2}h\)
  • B
    \(\frac{1}{3}\pi {\text{ }}{r^3}\)
    Correct
  • C
    \(\pi {r^3}\)
  • D
    \(\frac{2}{3}\pi {\text{ }}{r^3}\)
6
The surface areas of two spheres are in the ratio 16 : 9. The ratio of their volumes is
  • A
    64 : 27
    Correct
  • B
    16 : 27
  • C
    16 : 9
  • D
    27 : 64
7
The ratio of the volumes of two cones with equal heights and ratio of their radii as 2 : 5 is
  • A
    2 : 5
  • B
    4 : 25
    Correct
  • C
    2 : 25
  • D
    4 : 5
8
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
  • A
    125 : 27
  • B
    20 : 27
    Correct
  • C
    10 : 9
  • D
    8 : 27
9
A shoe box is 15cm long, 10cm broad and 9cm high. The volume of the box is
  • A
    1200\(c{m }\)
  • B
    1000\(c{m }\)
  • C
    1500\(c{m }\)
  • D
    1350\(c{m }\)
    Correct
10
The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes is
  • A
    9 : 25
    Correct
  • B
    27 : 125
  • C
    9 : 5
  • D
    3 : 5
11
The ratio of the volumes of a cube to that of a sphere which will exactly fit inside the cube is
  • A
    1 : 2
  • B
    \( 6{\text{ }}:{\text{ }}\pi \)
    Correct
  • C
    2 : 3
  • D
    3 : 1
12
The volume of a spherical shell is given by
  • A
    \(\pi ({R^3} - {r^3})\)
  • B
    \(4\pi ({R^3} - {r^3})\)
  • C
    \(\frac{4}{3}\pi ({R^2} - {r^2})\)
  • D
    \(\frac{4}{3}\pi ({R^3} - {r^3})\)
    Correct
13
The surface area of a cube whose volume is 64\(c{m }\) is
  • A
    64\(c{m }\)
  • B
    108\(c{m }\)
  • C
    96\(c{m }\)
    Correct
  • D
    72\(c{m }\)
14
The height of a cone whose base area and volume are equal numerically is
  • A
    3 units
    Correct
  • B
    6 units
  • C
    9 units
  • D
    1 unit
15
If the TSA of a solid cylinder is 200Ï€ sq.cm and its radius is 5cm, then the sum of its height and radius is
  • A
    15cm
  • B
    25cm
  • C
    10cm
  • D
    20cm
    Correct