Processing math: 100%

 Volume and Surface Area Questions

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 = (πrl)sq.units 

 

4. Total surface area = (πrl+πr2)sq.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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 722
Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 721
Q:

If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.

A) equal B) parallel
C) perpendicular D) non parallel
 
Answer & Explanation Answer: B) parallel

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 718
Q:

What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?

A) 1.4 B) 0.7
C) 2.8 D) 2.1
 
Answer & Explanation Answer: A) 1.4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 717
Q:

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

A) 1.5 times B) 3 times
C) 6 times D) 9 times
 
Answer & Explanation Answer: D) 9 times

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 717
Q:

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?

A) 2 B) 3/7
C) -3/7 D) 1
 
Answer & Explanation Answer: D) 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 716
Q:

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

A) 6 cm B) 8 cm
C) 6.4 cm D) 3.6 cm
 
Answer & Explanation Answer: A) 6 cm

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 716
Q:

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

A) 126 B) 252
C) 504 D) 1024
 
Answer & Explanation Answer: B) 252

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 715