Math, asked by bala3260, 7 months ago

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?

Answers

Answered by knjroopa

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.

Reference link will be

https://brainly.in/question/11128632

Answered by shahanaaz90

Answer:

168will be the correct answer hope it helps you

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