Surface Areas And Volumes CBSE Questions & Answers

Surface Areas And Volumes

This is Mathematics Class 09 Surface Areas and Volumes CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The total surface area of a cube is \(96\;c{m^2}\).
  • A
    \(64\;c{m^3}\)
    Correct
  • B
    \(c{m^3}\)
  • C
    \(27\;c{m^3}\)
  • D
    \(512\;c{m^3}\)
2
The lateral surface area of a cube is 256 \({m^2}\) The volume of the cube is
  • A
    \(512\;{m^3}.\;\)
    Correct
  • B
    \(256\;{m^3}.\;\)
  • C
    \(64\;{m^3}.\;\)
  • D
    \(216\;{m^3}.\;\)
3
The difference between the total surface area of a cube of side 4 cm and its lateral surface area is
  • A
    \(32\;c{m^2}.\)
    Correct
  • B
    \(24\;c{m^2}.\)
  • C
    \(16\;c{m^2}.\)
  • D
    \(20\;c{m^2}.\)
4
The volume of a cube whose diagonal is \(8\sqrt 3 \;cm\) is
  • A
    \(64\;c{m^3}.\)
  • B
    \(128\;c{m^3}.\)
  • C
    \(512\;c{m^3}.\)
    Correct
  • D
    \(256\;c{m^3}.\)
5
The number of planks of dimensions \((5m \times 25cm \times 10cm)\) that can be placed in a pit which is 20 m long, 6 m wide and 80 cm deep is
  • A
    840.
  • B
    764.
  • C
    960.
  • D
    768.
    Correct
6
The number of 6 m cubes that can be formed another cuboid measuring \(18 \times m\;12\; \times \;m\;9\; \times m\;is\)
  • A
    9.
    Correct
  • B
    15.
  • C
    12.
  • D
    10.
7
The length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 high is
  • A
    17 m.
    Correct
  • B
    20 m.
  • C
    15 m.
  • D
    18 m.
8
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions \(36\;cm \times 75\;cm\; \times 80\,cm\;is\)
  • A
    48 cm.
  • B
    60 cm.
    Correct
  • C
    36 cm.
  • D
    42 cm.
9
A rectangular pit of dimensions \(30\;m \times 15\;m \times 12\;m\) is dug and the earth taken out is disposed off in a carrier which can carry a maximum load of \(540\,{m^3}\) of earth. The least number of rounds the carrier had to make to dispose off the earth dug out is
  • A
    15.
  • B
    12.
  • C
    20.
  • D
    10.
    Correct
10
A granary is in the shape of a cuboid of size \(16\;m \times 12\;m \times 9\;m.\) If a bag of grain occupies a space of 0.48 \({m^3},\) then the maximum number of bags that can be stored in the granary is
  • A
    2400.
  • B
    1800.
  • C
    3600.
    Correct
  • D
    3000.
11
When a cuboid of dimensions \(30\;cm\; \times 30\;cm\; \times 42.6\;cm\) is melted and converted into cubes of edge 3 cm, then the number of cubes formed is
  • A
    1420.
    Correct
  • B
    2130.
  • C
    710.
  • D
    2840.
12
The volume of a right circular cylinder is \(2310\;c{m^3}.\) If the radius of its base is 7 cm, then its height is
  • A
    30 cm.
  • B
    15 cm.
    Correct
  • C
    7.5 cm.
  • D
    22.5 cm.
13
If a square paper of side 25 cm is rolled to form a cylinder, then its curved surface area is
  • A
    \(500\;c{m^2}.\)
  • B
    \(625\;c{m^2}.\)
    Correct
  • C
    \(250\;c{m^2}.\)
  • D
    \(1000\;c{m^2}.\)
14
The curved surface area of a well of diameter 3.5 m and depth 10 m is
  • A
    \(35\;{m^2}.\)
  • B
    \(110\;{m^2}.\)
    Correct
  • C
    \(135\;{m^2}.\)
  • D
    \(70\;{m^2}.\)
15
The curved surface area of a cylinder whose circumference of the base is 22 m and height 3 m is
  • A
    33\({m^2}\)
  • B
    66\({m^2}\).
    Correct
  • C
    132\({m^2}\)
  • D
    99\({m^2}\)