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 cost of digging a pit of dimensions \(4.5\;m\; \times 2.5\;m \times 2.5\;m\) at the rate of Rs 20 per cubic metre is
  • A
    Rs 1125.
  • B
    Rs 1687.50
  • C
    Rs 562.50.
    Correct
  • D
    Rs 281.25.
2
The volume of resulting cuboid formed when two cubes each of side 6 cm are joined end to end is
  • A
    416 \(c{m^3}.\)
  • B
    432 \(c{m^3}.\)
    Correct
  • C
    648 \(c{m^3}.\)
  • D
    864 \(c{m^3}.\)
3
The number of litres that a cuboidal water tank of dimensions \(6m\; \times 5m \times 4.5m\) can hold is
  • A
    270000 \(l.\)
  • B
    135000 \(l.\)
    Correct
  • C
    135 \(l.\)
  • D
    270 \(l.\)
4
The surface area of a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively is
  • A
    2600 \(c{m^2}.\)
  • B
    1950 \(c{m^2}.\)
  • C
    650 \(c{m^2}.\)
  • D
    1300 \(c{m^2}.\)
    Correct
5
The difference between the total surface area and the lateral surface area of a cuboid of length 20 cm, breadth 10 cm and height 40 cm is
  • A
    800 \(c{m^2}.\)
  • B
    400 \(c{m^2}.\)
    Correct
  • C
    200 \(c{m^2}.\)
  • D
    600 \(c{m^2}.\)
6
The volume of a cylinder whose circumference of the base is 132 cm and height 25 cm is
  • A
    34650 \(c{m^3}.\)
    Correct
  • B
    3300 \(c{m^3}.\)
  • C
    19800 \(c{m^3}.\)
  • D
    9900 \(c{m^3}.\)
7
If the curved surface area of a cylindrical pillar is 264 \({m^2}\) and its volume is 924 \({m^3}\) then its diameter is
  • A
    10.5 m.
  • B
    21 m.
  • C
    7 m.
  • D
    14 m.
    Correct
8
If the area of the base of a right circular cylinder is 15400 \(c{m^2}\) and its volume is 92400 \(c{m^3}\) then its curved surface area is
  • A
    2880 \(c{m^2}\)
  • B
    2640 \(c{m^2}\)
    Correct
  • C
    2600 \(c{m^2}\)
  • D
    2760 \(c{m^2}\)
9
The total surface area of a 7 cm high cylinder having a volume of \(448\pi \;c{m^3}\) is
  • A
    \({{5287} \over 7}c{m^2}.\)
  • B
    755 \(c{m^3}.\)
  • C
    \({{5110} \over 7}c{m^2}.\)
  • D
    \({{5280} \over 7}c{m^2}.\)
    Correct
10
If the circumference of the base of a 9 m high conical tent is 44 m, then the volume of air contained in it is
  • A
    924 \({m^3}.\)
  • B
    693 \({m^3}.\)
  • C
    462 \({m^3}.\)
    Correct
  • D
    1386 \({m^3}.\)
11
If a conical glass is 35 cm is diameter and 12 cm deep, then its capacity in letres is
  • A
    3.85 ltr.
    Correct
  • B
    1.155 ltr.
  • C
    7.7 ltr.
  • D
    0.5775 ltr.
12
To make a closed hollow cone of base radius 7 cm and height 24 cm, the area of metal sheet required is
  • A
    825 \(c{m^2}.\)
  • B
    704 \(c{m^2}.\)
    Correct
  • C
    550 \(c{m^2}.\)
  • D
    1100 \(c{m^2}.\)
13
The area of canvas required for a conical tent of height 24 m and base radius 7 m is
  • A
    825 \({m^2}.\)
  • B
    275 \({m^2}.\)
  • C
    550 \({m^2}.\)
    Correct
  • D
    1100 \({m^2}.\)
14
A conical vessel whose internal depth is 42 cm and internal diameter is 48 cm is full of water. If 1 cubic dm of water weight 1 kg wt, then the weight of water in the conical vessel is
  • A
    25.65 kg wt.
  • B
    25.5 kg wt.
  • C
    25.344 kg wt.
    Correct
  • D
    26.5 kg wt.
15
The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk, then the diameter of its base is
  • A
    60 cm.
    Correct
  • B
    30 cm.
  • C
    15 cm.
  • D
    35 cm.