Question

i will mark branielies and make it quick it timed !!! A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 212 cm.

The prism is filled with cubes that have edge lengths of 12 cm.



How many cubes are needed to fill the rectangular prism?

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Answer 1

Answer:

Number of cubes needed to fill the prism=3.44 cubes

Step-by-step explanation:

The number of cubes needed to fill the prism= Volume of the rectangular prism/Volume of the cube

Volume of the rectangular prism= Length*Width*Height

Length=7 cm

Width= 4 cm

Height= 212 cm

Volume of the rectangular prism:

                                            $7*4*212\\\\= 5936 cm^3$

Volume of the each cube= Side*Side*Side

Side= 12 cm

Volume of each cube:

                                            $12*12*12\\\\=1728 cm^3$

Number of cubes required to fill the rectangular prism:

                                                  $5936/1728\\\\ =3.44 Cubes$