Jenny made a block with small cubes of 9 cubic cm volume. To make the block she used 4 small cubes long, 8 small cubes wide and 16 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 look like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to take out so that the bigger cube is hollow?
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Step-by-step explanation:
Given Jenny made a block with small cubes of 9 cubic cm volume. To make the block she used 4 small cubes long, 8 small cubes wide and 16 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 look like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to take out so that the bigger cube is hollow?
- Now volume of the cube is length x breadth x height
- = 4 x 8 x 16
- = 512
- So 512 small cubes are needed
- Therefore the total volume (that is number of cubes) of the hollow will be
- (4 – 2) x (8 – 2) x (16 – 2)
- 2 x 6 x 14
- = 168
- So 168 smaller cubes has to be removed from the cube in order to make a hollow block.
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https://brainly.in/question/11128632
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168will be the correct answer hope it helps you
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