16. Identical cubes are packed into 2 boxes, A and

Berikut ini adalah pertanyaan dari celcilliagrace pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

16. Identical cubes are packed into 2 boxes, A and B. The ratio of the number of cubes in box A to the number of cubes in box B is 79. Given that the total volume of all cubes in boxes A and B is 3456 cm and the length of one side of a cube is 3 cm, find how many cubes there are in box B.​

Jawaban dan Penjelasan

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Jawab:The internal dimensions of a box are 1.2 m, 80 cm and 50 cm. How many cubes, each of edge 7 cm, can be packed in the box with faces parallel to the sides of the box. Also, find the space left empty in the box.

 

 

 

 

Hard

Solution

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Correct option is

B

1399;143 cm  

3

 

Number of cubes that can be packed =  

Volume of one cube

Volume of cuboidal box

 

Volume of a cuboid of length l, breadth b and height h,  

=l×b×h.

Volume of a cube of edge a is a  

3

 

Number of boxes than be placed =  

7 cm×7 cm×7 cm

120 cm×80 cm×50 cm

=1399.416

Since only 1399 complete boxes can be placed, the volume occupied by the boxes =1399×7  

3

=479857cm  

3

 

And the space left empty is  

(120×80×50)−479857=143cm  

3

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Last Update: Wed, 22 Dec 21