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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:

If the sum of the interior angles of a regular polygon is 1260 deg , then how many sides does it have?

A) 10 B) 12
C) 15 D) 9
 
Answer & Explanation Answer: D) 9

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Q:

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

A) 50√5 B) 100
C) 75√7 D) 175
 
Answer & Explanation Answer: C) 75√7

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Q:

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

A) -3 B) -1/3
C) 3 D) 1/3
 
Answer & Explanation Answer: C) 3

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0 1081
Q:

In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

A) 27 cm B) 9 cm
C) 12√3 cm D) (15√3)/2 cm
 
Answer & Explanation Answer: A) 27 cm

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0 1078
Q:

If a regular polygon has 10 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

A) 120 B) 132
C) 140 D) 108
 
Answer & Explanation Answer: D) 108

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0 1078
Q:

The volume of a cuboid is 320 cubic cm. Find its total surface area if its length and breadth are 10 cm and 8 cm respectively?

A) 608 sq cms B) 304 sq cms
C) 152 sq cms D) 456 sq cms
 
Answer & Explanation Answer: B) 304 sq cms

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1 1077
Q:

In ΔABC, ∠B is right angle, D is the mid point of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is

A) 4 cm B) 5 cm
C) 8 cm D) 12 cm
 
Answer & Explanation Answer: B) 5 cm

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0 1076
Q:

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is

A) 1760 cm3 B) 8800 cm3
C) 2002 cm3 D) 4804 cm3
 
Answer & Explanation Answer: C) 2002 cm3

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