7
Q:

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:   D) 120

Explanation:

Number of blocks ==120

Q:

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 & Explanation Answer: B) 8

Explanation:

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

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

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

Number of blocks = (8000/1000) = 8

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21 1332
Q:

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

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32 3963
Q:

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 \fn_jvn cm^3 = 648\inline \fn_jvn cm^3

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

Volume of the cube=(3x3x3)=27\inline \fn_jvn cm^3

Number of cubes=(648/27)=24

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4 759
Q:

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

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16 2091
Q:

If the volume of the cube is 729, 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 \fn_jvn a^3=729; a=9

surface area= (6 x 9 x 9) = 486\inline \fn_jvn cm^2

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3 987