Question

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?​

Answer 1

Answer:

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Step-by-step explanation:

The small cube has edge of 2cm. So block is 6 x 18 x 10 cc. Hence 135 cubes in solid block.

If block has to be hollow so only surface will contain small cubes. So the hollow block will have dimensions of 2 x 14 x 6 cc = 168 cc. That is 21 blocks.

So the block can me made with 135-21 = 114 small cubes

           another way

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

length = 3 small cubes long = 6 cm

breadth = 9 small cubes long = 18 cm

depth = 5 small cubes long = 10 cm

volume = 6*18*10 = 1080 cm^3

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

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