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:

The area  of a circle is 616 sq cm, find its circumference?

1343 0

  • 1
    44 cm
    Correct
    Wrong
  • 2
    88 cm
    Correct
    Wrong
  • 3
    22 cm
    Correct
    Wrong
  • 4
    176 cm
    Correct
    Wrong
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Answer : 2. "88 cm"

Q:

From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.

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  • 1
    $$ {1\over3}π{r^{2}}h$$
    Correct
    Wrong
  • 2
    $$ {1\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 3
    $$ {7\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 4
    $$ {1\over8}π{r^{2}}h$$
    Correct
    Wrong
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

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  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

1341 0

  • 1
    289
    Correct
    Wrong
  • 2
    616
    Correct
    Wrong
  • 3
    962.56
    Correct
    Wrong
  • 4
    481.056
    Correct
    Wrong
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Answer : 4. "481.056"

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 : 

1337 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 heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:

1328 0

  • 1
    2:9:2
    Correct
    Wrong
  • 2
    4:9:1
    Correct
    Wrong
  • 3
    4: 27:2
    Correct
    Wrong
  • 4
    2 : 3: 1
    Correct
    Wrong
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Answer : 3. "4: 27:2"

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.

1311 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. "$${{180cm^2}}$$"

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