Volume and Surface Area Questions Practice Question and Answer

Q:

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

1621 0

  • 1
    $$ {2\over ({\sqrt{2}+1})R}$$
    Correct
    Wrong
  • 2
    $$ {1\over {\sqrt{2}}}R$$
    Correct
    Wrong
  • 3
    $$ {(\sqrt{2}-1)R}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{2}R}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ {(\sqrt{2}-1)R}$$"

Q:

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

1619 0

  • 1
    2a
    Correct
    Wrong
  • 2
    a\√2
    Correct
    Wrong
  • 3
    $$a^2\2$$
    Correct
    Wrong
  • 4
    $$a2\4$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$a^2\2$$"

Q:

A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

1618 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "24"

Q:

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

1618 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    26 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "28 cm"

Q:

The wooden box measure 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. The volume of wood to make the box (in cubic cm) is 

1617 0

  • 1
    960
    Correct
    Wrong
  • 2
    519
    Correct
    Wrong
  • 3
    2400
    Correct
    Wrong
  • 4
    1.120
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "960 "

Q:

A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?

1617 0

  • 1
    Rs.5000
    Correct
    Wrong
  • 2
    Rs.3000
    Correct
    Wrong
  • 3
    Rs.6000
    Correct
    Wrong
  • 4
    Rs .4000
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Rs.3000"

Q:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

1614 0

  • 1
    $$ {3168\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3186\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {3200\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {3150\ cm^{2}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {3168\ cm^{2}}$$"

Q:

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

1612 0

  • 1
    $$ {1\over 9}$$
    Correct
    Wrong
  • 2
    $$ {2\over 9}$$
    Correct
    Wrong
  • 3
    $$ {7\over 9}$$
    Correct
    Wrong
  • 4
    $$ {8\over 9}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ {2\over 9}$$"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully