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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 angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the smallest angle.

A) 36 deg B) 18 deg
C) 12 deg D) 24 deg
 
Answer & Explanation Answer: D) 24 deg

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Q:

What is the sum of the measures of all the interior angles of a regular polygon of 6 sides?

A) 1080 B) 1260
C) 1440 D) 720
 
Answer & Explanation Answer: D) 720

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Q:

If DE is parallel to BC and bisects the other two sides of the triangle ABC such that the ratio AD/DB = 5/13 and the length of the part EC is 26 cm. Then determine the length of AE (in cm).

A) 5 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: B) 10

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Q:

Choose the correct option for the following figure.

A) AB=BD B) AC=CD
C) BC=AB D) AD
 
Answer & Explanation Answer: B) AC=CD

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Q:

In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle.

 

A) 60° B) 30°  
C) 90° D) 45°
 
Answer & Explanation Answer: B) 30°  

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Q:

In a right angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of hypotenuse.

A) 12 Cm B) 10 Cm
C) 20 Cm D) 15 Cm
 
Answer & Explanation Answer: C) 20 Cm

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0 522
Q:

___ is the point at which the perpendicular bisectors of the sides meet and the center of the circle that circumscribes the triangle is ____.

A) Incenter, Circumcenter B) Circumcenter, Circumcenter
C) Circumcenter, Incenter D) Orthocenter, Circumcenter
 
Answer & Explanation Answer: B) Circumcenter, Circumcenter

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Q:

The perimeter and the length of one of the diagonals of a rhombus is 26 cm and 5 cm respectively. Find the length of its other diagonal (in cm).

 

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

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