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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:

In the given fig, ST||RP, then what is the value of supplementary angle y (in deg)?

A) 10 B) 60
C) 100 D) 170
 
Answer & Explanation Answer: C) 100

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Q:

A right circular conical structure stands on a circular base of 21m diameter and is 14m in height. The total cost of colour washing for its curved surface at Rs. 6 per sq. m. is
(Take Π = 22/7 )

A) 4365 B) 4465
C) 3465 D) 3365
 
Answer & Explanation Answer: C) 3465

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Q:

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

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

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Q:

A chord of length 60 cm is at a distance of 16 cm from the centre of a circle. What is the radius (in cm) of the circle?

A) 17 B) 34
C) 51 D) 68
 
Answer & Explanation Answer: B) 34

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Q:

In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is

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

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Q:

An angle is greater than its complementary by 20°. What will be the measure of the angle?

A) 55° B) 35°
C) 100° D) 80°
 
Answer & Explanation Answer: A) 55°

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Q:

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

A) 6.76 B) 5.88
C) 6.12 D) 3.34
 
Answer & Explanation Answer: C) 6.12

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Q:

A circle of diameter 26 cm having the two equal chords of length 10 cm is separated by a distance x cm. Calculate the distance x.

A) 20 B) 22
C) 24 D) 28
 
Answer & Explanation Answer: C) 24

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