Hello, can i get help for this question pls. Thanks

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The answer key is 138. I’m not sure how they got 138 either.

24 x 18 x 9 = 3888

4 x 4 x 9 = 144

3888 – 144 = 3744

3 x 3 x 3 = 27

3744/27 = 138 (rounded down to the nearest whole number)

Please note that the above solution is, however, incorrect as there are spaces that 6 (3 cm by 3 cm by 3 cm) cubes could not fit in.

I see.

May I ask, what’s your answer?

I got 114.

I think the answer is 120.

Because I made a mistake at the side. If you notice the **top view** is 18 cm, it could fit in 6 cubes.

So, on each side of the 10 cm, can fit in one more row, making it 18 cubes on each side. Plus, the 4 cubes in the middle column, each level can fit in 18 + 18 + 4 = 40 cubes.

Therefore, there are 3 level (as the height is 9 cm),

it will be

40 cubes x 3 levels = **120 cubes**.

Method 1 :

24/3 = 8

18 – 4 = 14

14/2 = 7

7/3 = 2R1

9/3 = 3

8 x 2 x 3 x 2 = 96

24 – 4 = 20

20/2 = 10

10/3 = 3R1

18 – (3 x 2 x 2) = 6

6/3 = 2

9/3 = 3

3 x 2 x 3 x 2 = 36

96 + 36 = 132

Method 2 :

18/3 = 6

24 – 4 = 20

20/2 = 10

10/3 = 3

9/3 = 3

6 x 3 x 3 x 2 = 108

18 – 4 = 14

14/2 = 7

7/3 = 2R1

24 – (3 x 3 x 2) = 6

6/3 = 2

9/3 = 3

2 x 2 x 3 x 2 = 24

108 + 24 = 132

Ans : 132 cubes.

I have a different answer.

Top portion of the cuboid

No of squares = 24×6/9 = 16

Lower portion of the cuboid

No of squares = 24×6/9 = 16

Left side of the cuboid

Length = (24-4)/2 = 10

Breath = 18-6-6 = 6

Hence, no of squares = 9×6/9 = 6

This is the same for right side of the cuboid, which is also 6 squares.

Height of this container = 9cm

Cube’s height is 3cm, we can have three layers.

one layer is 16+16+6+6 = 44 (cubes)

three layers = 132 (cubes)

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