Question

i will mark brainliest 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?

Answer 1

Answer:

Number of cubes needed to fill the rectangular prism=3.44 cubes

Step-by-step explanation:

The cubes that are needed to fill the rectangular prism is calculated by:

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:

                    $= 7*4*212\\\\ =28*212\\\\ =5936cm^3$

Volume of the cube = side*side*side

side=12 cm

Volume:

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

Number of cubes needed to fill the rectangular prism:

                     $5936/1728\\\\=3.44 cubes$