Volume and Surface Area Practice Question and Answer

Q:

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?

901 0

  • 1
    62.5 m
    Correct
    Wrong
  • 2
    37.5 m
    Correct
    Wrong
  • 3
    13.4 m
    Correct
    Wrong
  • 4
    18.2 m
    Correct
    Wrong
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Answer : 2. "37.5 m"

Q:

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

898 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 3. "5 cm"

Q:

A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)

898 0

  • 1
    $$ {24\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {18\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "$$ {24\sqrt{3}}$$"

Q:

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:

891 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
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Answer : 2. "14.8"

Q:

The lengths of the parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. what is the area ( in cm2) of the trapezium?

888 0

  • 1
    1206
    Correct
    Wrong
  • 2
    1152
    Correct
    Wrong
  • 3
    1260
    Correct
    Wrong
  • 4
    1296
    Correct
    Wrong
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Answer : 4. "1296"

Q:

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

888 0

  • 1
    $$ {150 \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {100 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {120 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {160 \ cm^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {120 \ cm^{2}}$$"

Q:

A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is : 

887 1

  • 1
    8.37 m3
    Correct
    Wrong
  • 2
    10.67 m3
    Correct
    Wrong
  • 3
    11.20 m3
    Correct
    Wrong
  • 4
    9.68 m3
    Correct
    Wrong
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Answer : 2. "10.67 m3 "

Q:

The height of a cone is 16 cm and radius of its base is 30 cm. If the rate of painting it is Rs.14/cm2, then what will be the total cost in painting the curved surface of cone from outside?

885 0

  • 1
    Rs. 42220
    Correct
    Wrong
  • 2
    Rs. 44880
    Correct
    Wrong
  • 3
    Rs. 36820
    Correct
    Wrong
  • 4
    Rs.46540
    Correct
    Wrong
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Answer : 2. "Rs. 44880"

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