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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:

What is the reflection of the point (5 , -1) in the line y = 2?

A) (5, -5) B) (-5, -5)
C) (5, 5) D) (-5, 5)
 
Answer & Explanation Answer: C) (5, 5)

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1 1040
Q:

Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

A) 12 B) 14
C) 16 D) 28
 
Answer & Explanation Answer: D) 28

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1 1039
Q:

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

A) 55 B) 60
C) 70 D) 90
 
Answer & Explanation Answer: C) 70

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0 1038
Q:

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A) 37° B) 41°
C) 42° D) 49°
 
Answer & Explanation Answer: B) 41°

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0 1038
Q:

If the curved surface area of a right circular cone is 10010 sq cm and its radius is 35 cm, find its volume?

A) 6930 cubic cm B) 13860 cubic cm
C) 3465 cubic cm D) 27720 cubic cm
 
Answer & Explanation Answer: B) 13860 cubic cm

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0 1038
Q:

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: B) 12

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1 1037
Q:

If the volume of a cylinder is 385 cubic cm and height is 10 cm, find its radius?

A) 7 cm B) 10.5 cm
C) 3.5 cm D) 1.75 cm
 
Answer & Explanation Answer: C) 3.5 cm

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0 1037
Q:

The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2 . What is the radius (in cm) of the larger circle?

A) 56 B) 42
C) 63 D) 49
 
Answer & Explanation Answer: D) 49

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