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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 (1 , 2) in the line y = 3?

A) (1, -4) B) (1, 4)
C) (-1, -4) D) (-1, 4)
 
Answer & Explanation Answer: B) (1, 4)

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0 1072
Q:

ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

A) 1876 B) 90
C) 1785 D) 1786
 
Answer & Explanation Answer: C) 1785

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2 1069
Q:

A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?

A) 62 B) 56
C) 48 D) 52
 
Answer & Explanation Answer: B) 56

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0 1066
Q:

The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

A) 0.5 cm B) 1.5 cm
C) 1 cm D) 2 cm
 
Answer & Explanation Answer: C) 1 cm

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2 1064
Q:

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:

A) 6.25pi B) 6.75pi
C) 5pi D) 7pi
 
Answer & Explanation Answer: A) 6.25pi

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0 1063
Q:

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

A) 150 B) 200
C) 210 D) 240
 
Answer & Explanation Answer: A) 150

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0 1063
Q:

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

A) 40° B) 35°
C) 30° D) 25°
 
Answer & Explanation Answer: B) 35°

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0 1062
Q:

The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm).

A) 360 B) 80
C) 160 D) 180
 
Answer & Explanation Answer: D) 180

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2 1061