Volume and Surface Area Practice Question and Answer

Q:

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

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  • 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:

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

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  • 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 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 R1 and height h, then h in terms of R1 will be :

1589 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:

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

1588 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:

The total surface area of a cube is 864 square cm. What will be its volume?

1586 0

  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "1728"

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?

1579 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"

Q:

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?

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  • 1
    62.5 m
    Correct
    Wrong
  • 2
    37.5 m
    Correct
    Wrong
  • 3
    13.4 m
    Correct
    Wrong
  • 4
    18.2 m
    Correct
    Wrong
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Answer : 2. "37.5 m"

Q:

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2. 

1576 0

  • 1
    ₹ 2600
    Correct
    Wrong
  • 2
    ₹ 2680
    Correct
    Wrong
  • 3
    ₹ 2580
    Correct
    Wrong
  • 4
    ₹ 2500
    Correct
    Wrong
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Answer : 1. "₹ 2600 "

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