Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 sm

Susan made a block with small cubes of 8 cubic cm volume
to make a block ,3 small cubes long, 9 small cubes wide and
5 small cubes deep. She realizes that she has used more
small cubes than she really needed. She realized that she
could have glued a fewer number of cubes together to lock
like a block with same dimensions, if it were made hollow.
What is the minimum number of cubes that she needs to make
the block?
a) 114 b) 135 c) 21 d) 71

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Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 sm..

Answer / kamlesh

(9*3*5)-(9-2)*(3-2)*(5-2) = 114

Is This Answer Correct ?

41 Yes

2 No

Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 sm..

Answer / anil prakash

dimensions of cube =2*2*2cm^3

length = 3 small cubes long = 6cm

breadth = 9 small cubes long = 18cm

depth = 5 small cubes long = 10cm

volume = 6*18*10 = 1080cm^3
volume of hallow cube = (6-4)(18-4)(10-4) = 168cm^3

hence no.of cubes required = 1080-168/8 = 114

Is This Answer Correct ?

11 Yes

2 No

Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 sm..

Answer / kld

1st case when inner hollow part is of 1cube
(9*3*5)-(9-1)*(3-1)*(5-1)=71
2nd case when inner hollow part is of 2 cube
(9*3*5)-(9-2)*(3-2)*(5-2)=141

3rd case 3 cube never be happens thus ans may be a and d both.

Is This Answer Correct ?

2 Yes

17 No

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