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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 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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Q:

Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

A) 10 B) 12
C) 15 D) 16
 
Answer & Explanation Answer: B) 12

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Q:

An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is

A) 3° B) 4°
C) 5° D) 6°
 
Answer & Explanation Answer: C) 5°

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Q:

If the sum of the measures of all the interior angles of polygon is 1800°, find the number of sides of the polygon?

A) 12 B) 14
C) 16 D) 8
 
Answer & Explanation Answer: A) 12

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Q:

The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm).

 

A) 21 B) 42
C) 84 D) 63
 
Answer & Explanation Answer: B) 42

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Q:

The area and the length of one of the diagonals of a rhombus is 54 cm2 and 9 cm respectively. Find the length of its other diagonal (in cm).

A) 6 B) 24
C) 12 D) 18
 
Answer & Explanation Answer: C) 12

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Q:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

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

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Q:

In which of the following quadrilaterals only one pair of opposite angles is supplementary?

A) Isosceles Trapezium B) Parallelogram
C) Cyclic quadrilateral D) Rectangle
 
Answer & Explanation Answer: C) Cyclic quadrilateral

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