Volume and Surface Area Practice Question and Answer

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?

1311 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)

1305 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:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:

1303 0

  • 1
    20 cm
    Correct
    Wrong
  • 2
    50 cm
    Correct
    Wrong
  • 3
    35 cm
    Correct
    Wrong
  • 4
    25 cm
    Correct
    Wrong
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Answer : 4. "25 cm"

Q:

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

1303 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:

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.

1299 0

  • 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:

If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius Rand height h, then h in terms of R1 will be :

1297 0

  • 1
    $$ {40-R_1\over {R_1}}$$
    Correct
    Wrong
  • 2
    $$ {40-R_1\over {R_1^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {40-R_1^{2}}\over R_1$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"

Q:

A polygon has 14 sides then find out No. of diagonals in that polygon. 

1295 0

  • 1
    75
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    77
    Correct
    Wrong
  • 4
    80
    Correct
    Wrong
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Answer : 3. "77 "

Q:

What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?   

1291 0

  • 1
    πr (l + r)
    Correct
    Wrong
  • 2
    2πr (l+r)
    Correct
    Wrong
  • 3
    πrl
    Correct
    Wrong
  • 4
    $$ 2πrl^2$$
    Correct
    Wrong
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Answer : 1. "πr (l + r) "

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