12 Bonus Question for 5 bo The cubes in the rectangular pris

12. Bonus Question for 5 bo The cubes in the rectangular prism are the same size. The cubes tha nus points. How many cubes are needed to fill the prism below. prism has at least one stack of t goes up to the top. Be sure to mark the correct line on the examination. Line 41 a. 108 b. 110 c. 112 d. 114 e. 116 Line 42 a. 105 b. 107 c. 109 d. 111 e. 113 Line 43. a. 118. b. 120 c. 122 d. 124 e. 126 Line 44. a. 96 b.98. c. 100 d. 102 e. 104 Line 45 a. 80 b.81 c. 81 d. 82 e. 83 Line 46. a. 50 b.5I c. 52 d. 53 e. 54 Line 47. a. 40 b.41 c.45 d.48 e.49 Line 48. a. 200 b. 201 c. 202 d. 203 e. 204 Line 49. a 300 b. 301 c. 302 d. 303 e. 304 Line 50. a. 20 b. 21 c. 27 d. 29. e. 25

Solution

There are total 5 layers of cubes present in rectangular prism from bottom to top (see the figure in question).

Now first of all we need to find the total number of cubes present in first layer from the bottom that is lowest layer.

As we can see,

There are 8 column and 3 rows present in lowest layer.

Therefor number of cubes present in lowest layer

=8×3

=24.

Hence,

Total number of cubes needed to fill the rectangular prism

= Cubes in one layer × Total number of layers present

=24×5

= 120.