Volume and Surface Area Questions Practice Question and Answer

Q:

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

1593 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
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Answer : 1. "$$ {288\sqrt{3}}$$"

Q:

The measure of a cuboid warehouse is (8 m x 6 m x 3 m). If each sack covers 0.48 cubic meters of space, how many maximum sacks can be kept in it?

1590 0

  • 1
    221
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
  • 3
    320
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300"

Q:

From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

1587 0

  • 1
    2πa
    Correct
    Wrong
  • 2
    $$ {π\over 5}{a}$$
    Correct
    Wrong
  • 3
    $$ {7π\over 5}{a}$$
    Correct
    Wrong
  • 4
    $$ {9π\over 5}{a}$$
    Correct
    Wrong
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Answer : 4. "$$ {9π\over 5}{a}$$"

Q:

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

1585 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. "$$ {120 \ cm^{2}}$$"

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Answer : 4. "6 cm "

Q:

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

1577 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:

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

1577 0

  • 1
    150 m²
    Correct
    Wrong
  • 2
    140 m²
    Correct
    Wrong
  • 3
    130 m²
    Correct
    Wrong
  • 4
    120 m²
    Correct
    Wrong
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Answer : 4. "120 m²"

Q:

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

1571 0

  • 1
    12:11
    Correct
    Wrong
  • 2
    14:11
    Correct
    Wrong
  • 3
    6:11
    Correct
    Wrong
  • 4
    7:11
    Correct
    Wrong
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Answer : 2. "14:11"

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