Volume and Surface Area Questions Practice Question and Answer

Q:

The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?

798 0

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

Q:

In the given figure, two squares shown in the figure have the arm of 12 cm and 8 cm. then find out the area of shaded part?

1444 0

  • 1
    19.2
    Correct
    Wrong
  • 2
    18.3
    Correct
    Wrong
  • 3
    19.6
    Correct
    Wrong
  • 4
    19.8
    Correct
    Wrong
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Answer : 1. "19.2"

Q:

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

872 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:

What is the total surface area and curved surface area of a solid semi circle with radius of 14 cm?

1276 0

  • 1
    $$ {5544cm^2},1848 cm^2 $$
    Correct
    Wrong
  • 2
    $$ {1848cm^2},1232 cm^2 $$
    Correct
    Wrong
  • 3
    $$ {924cm^2},616 cm^2 $$
    Correct
    Wrong
  • 4
    $$ {2772cm^2},1848 cm^2 $$
    Correct
    Wrong
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Answer : 2. "$$ {1848cm^2},1232 cm^2 $$"

Q:

The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

1193 0

  • 1
    63 cm
    Correct
    Wrong
  • 2
    56 cm
    Correct
    Wrong
  • 3
    42 cm
    Correct
    Wrong
  • 4
    49 cm
    Correct
    Wrong
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Answer : 1. "63 cm"

Q:

PQRS is a parallelogram, Angle SPQ=60 Degree, QR=40 cm and PQ=10 cm, then find the area of the parallelogram.

2043 0

  • 1
    100√3 sq.cm
    Correct
    Wrong
  • 2
    200√3 sq.cm
    Correct
    Wrong
  • 3
    100 sq.cm
    Correct
    Wrong
  • 4
    500 sq.cm
    Correct
    Wrong
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Answer : 2. "200√3 sq.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 

1114 0

  • 1
    960
    Correct
    Wrong
  • 2
    519
    Correct
    Wrong
  • 3
    2400
    Correct
    Wrong
  • 4
    1.120
    Correct
    Wrong
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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  ?

1013 0

  • 1
    Rs.5000
    Correct
    Wrong
  • 2
    Rs.3000
    Correct
    Wrong
  • 3
    Rs.6000
    Correct
    Wrong
  • 4
    Rs .4000
    Correct
    Wrong
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Answer : 2. "Rs.3000"

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