Free Q&A
Aptitude and Reasoning
General Knowledge
Puzzles
Interviews
Technical
Certifications
Exams
Job Roles
True or False

Login

Forgot Password?

Home/
Aptitude and Reasoning/
Quantitative Aptitude - Arithmetic Ability/
Volume and Surface Area

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 = $\sqrt{l^{2} + b^{2} + h^{2}}$ units

II. CUBE

Let each edge of a cube be of length a. Then,

1. Volume = $a^{3}$ cubic units.

2. Surface area = $6 a^{2}$ sq.units

3. Diagonal = $\sqrt{3} a$ units

III. CYLINDER

Let radius of base = r and Height (or Length) = h. Then,

1.Volume = $({πr}^{2} h)$ cubic units

2. Curved surface area = $(2 π r h)$ sq.units

3. Total surface area = $(2 πrh + 2 {πr}^{2})$ sq.units

IV. CONE

Let radius of base =r and Height = h. Then,

1. Slant height, $l = \sqrt{h^{2} + r^{2}}$ units

2. Volume = $(\frac{1}{3} {πr}^{2} h)$ cubic units.

3. Curved surface area = $(πrl)$ sq.units

4. Total surface area = $(πrl + {πr}^{2})$ sq.units

V. SPHERE

Let the radius of the sphere be r. Then,

1. Volume = $(\frac{4}{3} {πr}^{3})$ cubic units

2. Surface area = $(4 {πr}^{2})$ sq.units

VI. HEMISPHERE

Let the radius of a hemisphere be r. Then,

1. Volume = $(\frac{2}{3} {πr}^{3})$ cubic units.

2. Curved surface area = $(2 {πr}^{2})$ sq.units

3. Total surface area = $(3 {πr}^{2})$ sq.units

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

A) 4 : 21	B) 4 : 25
C) 4 : 29	D) 4 : 9

A) 4 : 21

B) 4 : 25

C) 4 : 29

D) 4 : 9

Answer & Explanation Answer: A) 4 : 21

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1067

The number of diagonals in a pentadecagon is

A) 30	B) 90
C) 45	D) 60

A) 30

B) 90

C) 45

D) 60

Answer & Explanation Answer: B) 90

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1064

The area of the base of a cone is 64pi sq.cm while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be

A) 2303 cm	B) 2403 cm
C) 8303 cm	D) 6.5 cm

A) 2303 cm

B) 2403 cm

C) 8303 cm

D) 6.5 cm

Answer & Explanation Answer: A) 2303 cm

Explanation:

Report Error

View Answer Report Error Discuss

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

1 1062

The diameter of the driving wheel of a cart is 154 cm. Calculate the revolution per minute [RPM] of the wheel in order to keep a speed of 33 kmph?

A) 114	B) 112
C) 110	D) 108

A) 114

B) 112

C) 110

D) 108

Answer & Explanation Answer: A) 114

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1060

Find the total surface area (in cm2) of a cube of side 3.5 cm.

A) 91.7	B) 64
C) 88	D) 73.5

A) 91.7

B) 64

C) 88

D) 73.5

Answer & Explanation Answer: D) 73.5

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1059

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

A) 3 cm	B) 4 cm
C) 5.5 cm	D) 3.5 cm

A) 3 cm

B) 4 cm

C) 5.5 cm

D) 3.5 cm

Answer & Explanation Answer: A) 3 cm

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1055

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

A) 6

B) 24

C) 12

D) 18

Answer & Explanation Answer: C) 12

Explanation:

Report Error

View Answer Report Error Discuss

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

0 1048

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).