21

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?

 A) 6 B) 8 C) 12 D) 16

Answer:   B) 8

Explanation:

Side of smallest cube = L.C.M of 5,10,20 = 20cm

Volume of the cube = (20x20x20)$\inline&space;\fn_jvn&space;cm^3$  = 8000$\inline&space;\fn_jvn&space;cm^3$

Volume of the block= (5x10x20)$\inline&space;\fn_jvn&space;cm^3$ = 1000$\inline&space;\fn_jvn&space;cm^3$

Number of blocks = (8000/1000) = 8

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

Tags:

• Related Questions

How many cubes of 3cm edge can be cut out of a cube of 18cm edge

 A) 36 B) 232 C) 216 D) 484

Answer & Explanation Answer: C) 216

Explanation:

number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216

Report Error

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

29

A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:

 A) 30 B) 60 C) 90 D) 120

Answer & Explanation Answer: D) 120

Explanation:

Number of blocks =$\inline \fn_jvn \inline {\left ( \frac{160\times 100\times 60}{20\times 20\times 20} \right )}$=120

Report Error

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

7

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

 A) 6 B) 9 C) 24 D) 30

Answer & Explanation Answer: C) 24

Explanation:

Volume of block=(6x9x12)$\inline&space;\fn_jvn&space;cm^3$ = 648$\inline&space;\fn_jvn&space;cm^3$

Side of largest cube = H.C.F of 6,9,12 = 3cm

Volume of the cube=(3x3x3)=27$\inline&space;\fn_jvn&space;cm^3$

Number of cubes=(648/27)=24

Report Error

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

3

How many cubes of 10cm edge can be put in a cubical box of 1m edge

 A) 10 B) 100 C) 1000 D) 10000

Answer & Explanation Answer: C) 1000

Explanation:

number of cubes=(100x100x100)/(10x10x10)=1000

Report Error

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

13

If the volume of the cube is 729$\inline \fn_jvn cm^{3}$, then the surface area of the cube will be

 A) 486 sq.cm B) 456 sq.cm C) 446 sq.cm D) 476 sq.cm

Answer & Explanation Answer: A) 486 sq.cm

Explanation:

$\inline&space;\fn_jvn&space;a^3$=729; a=9

surface area= (6 x 9 x 9) = 486$\inline&space;\fn_jvn&space;cm^2$

Report Error

Subject: Volume and Surface Areas - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

3