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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:

Find the volume (in cm3) of a cuboid of length, breadth and height of 10.5 cm, 8 cm and 9 cm respectively.

A) 307 B) 541
C) 355 D) 756
 
Answer & Explanation Answer: D) 756

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0 924
Q:

Which of the following triangle is formed when the triangle has all the three medians of equal length?0

A) Scalene B) Isosceles
C) Equilateral D) Right angled
 
Answer & Explanation Answer: C) Equilateral

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0 921
Q:

What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?

A) 12 B) 24
C) 15 D) 60
 
Answer & Explanation Answer: C) 15

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0 920
Q:

The length of the diagonal and the breadth of a rectangle are 29 cm and 20 cm respectively. Find its perimeter (in cm).

 

A) 164 B) 82
C) 21 D) 42
 
Answer & Explanation Answer: B) 82

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0 920
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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0 917
Q:

A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

A) 1478.4 sq mts B) 2217.6 sq mts
C) 369.6 sq mts D) 739.2 sq mts
 
Answer & Explanation Answer: D) 739.2 sq mts

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0 912
Q:

In the two triangles ABC and DEF the sides AB = DE and BC = EF. Which of the following option is correct which results in the ∆ABC ≅∆DEF?

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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0 911
Q:

Possible measures of three angles of a triangle are

A) 33°, 42°, 115° B) 40°, 70°, 80°
C) 30°, 60°, 100° D) 50°, 60°, 70°
 
Answer & Explanation Answer: D) 50°, 60°, 70°

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0 909