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 Volume and Surface Area Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  VOLUME  AND  SURFACE  AREA  QUESTIONS

 

 

I. CUBOID

   Let length=l, breadth =b and height =h units. Then,

1. Volume = (l x b x h)

2. Surface area = 2(lb +bh + lh) sq.units

3. Diagonal =l2+b2+h2 units

 

 

II. CUBE 

Let each edge of a cube be of length a. Then,

1. Volume = a3 cubic units.

2. Surface area = 6a2 sq.units

3. Diagonal = 3a units

 

 

III. CYLINDER 

Let radius of base = r and Height (or Length) = h. Then, 

1.Volume = πr2h cubic units 

2. Curved surface area = 2πrh sq.units

3. Total surface area = 2πrh+2πr2 sq.units

 

 

IV. CONE 

Let radius of base =r and Height = h. Then, 

1. Slant height, l=h2+r2 units

 

2. Volume = 13πr2h cubic units.

 

3. Curved surface area = πrlsq.units 

 

4. Total surface area = πrl+πr2sq.units

 

 

V. SPHERE 

Let the radius of the sphere be r. Then, 

1. Volume =43πr3 cubic units

2. Surface area = 4πr2 sq.units

 

 

VI. HEMISPHERE 

Let the radius of a hemisphere be r. Then, 

1. Volume = 23πr3 cubic units.

2. Curved surface area = 2πr2 sq.units

3. Total surface area = 3πr2 sq.units

 

Q:

Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

A) 4620 cubic cm B) 2310 cubic cm
C) 6930 cubic cm D) 1155 cubic cm
 
Answer & Explanation Answer: B) 2310 cubic cm

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Q:

Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is

A) 1:2 B) 2:1
C) 1:3 D) 2:3
 
Answer & Explanation Answer: B) 2:1

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3 1076
Q:

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

A) 3:1 B) 2:1
C) 3:2 D) 4:3
 
Answer & Explanation Answer: D) 4:3

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Q:

Volume of a cylinder is 2310 cubic cm. If circumference of its base is 44 cm, find the curved surface area of the cylinder?

A) 660 sq cm B) 1320 sq cm
C) 1980 sq cm D) 330 sq cm
 
Answer & Explanation Answer: A) 660 sq cm

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Q:

The measures of the four angles of a quadrilateral are in the ratio 1:2:4:5. What is the measure of the biggest angle?

A) 120° B) 30°
C) 60° D) 150°
 
Answer & Explanation Answer: D) 150°

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0 1074
Q:

The co-ordinates of the centroid of a triangle ABC are (-1 , 4). What are the co-ordinates of vertex C if co-ordinates of A and B are (-3 , -1) and (3 , 5) respectively?

A) (-3 , 8) B) (3 , 8)
C) (-3 , -8) D) (3 , -8)
 
Answer & Explanation Answer: A) (-3 , 8)

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1 1073
Q:

Find the total surface area (in cm2) of a cuboid of length, breadth and height of 10.5 cm, 8 cm and 9 cm respectively.

A) 607 B) 767
C) 769 D) 501
 
Answer & Explanation Answer: D) 501

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Q:

The triangle ABC and DEF are similar to each other. The measure of the angle A and E is 67 and 83 degree respectively. What is the value of angle C?

A) 20°   B) 30°
C) 40° D) 50°
 
Answer & Explanation Answer: B) 30°

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