Volume and Surface Area Practice Question and Answer

Q:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?

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  • 1
    950 cm3
    Correct
    Wrong
  • 2
    970 cm3
    Correct
    Wrong
  • 3
    960 cm3
    Correct
    Wrong
  • 4
    940 cm3
    Correct
    Wrong
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Answer : 3. "960 cm3"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

1378 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "$$ { 24 π cm^2}$$"

Q:

If a side of a square is a, then what will be the area of the square on its diagonal?

1375 0

  • 1
    $$ {\sqrt{2}a^{2}}$$
    Correct
    Wrong
  • 2
    $$ {{2}a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {{5}a^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{2}a^{2}}$$"

Q:

In a triangle, ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 45 cm. If the area of ΔAPQ is 12 $${{cm^2}}$$, then find the area of BPQC.

1374 0

  • 1
    $${{192cm^2}}$$
    Correct
    Wrong
  • 2
    $${{182cm^2}}$$
    Correct
    Wrong
  • 3
    $${{190cm^2}}$$
    Correct
    Wrong
  • 4
    $${{180cm^2}}$$
    Correct
    Wrong
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Answer : 4. "$${{180cm^2}}$$"

Q:

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

1370 0

  • 1
    27720 sq cm
    Correct
    Wrong
  • 2
    4620 sq cm
    Correct
    Wrong
  • 3
    6930 sq cm
    Correct
    Wrong
  • 4
    13860 sq cm
    Correct
    Wrong
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Answer : 4. "13860 sq cm"

Q:

A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

1362 0

  • 1
    $$ {1\over 4}$$
    Correct
    Wrong
  • 2
    $$ {1\over 2}$$
    Correct
    Wrong
  • 3
    $$ {3\over 8}$$
    Correct
    Wrong
  • 4
    $$ {5\over 8}$$
    Correct
    Wrong
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Answer : 3. "$$ {3\over 8}$$"

Q:

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

1360 0

  • 1
    17.5 cm
    Correct
    Wrong
  • 2
    10.5 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    7 cm
    Correct
    Wrong
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Answer : 4. "7 cm"

Q:

The curved surface area of cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

1360 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
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Answer : 2. "7 : 3"

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