Question

How many cubes with side length of 1/3 cm does it take to fill prism? 1 cm width, 2 2/3 cm length, 2/3 cm height

Answer 1

Answer:

It takes 1/132 cubes to fill prism.

Step-by-step explanation:

Volume of the cube = a³

a = 1/3

Volume = (1/3)³

             = 1/27 cm³

Volume of rectangular prism = l × b × h

                                                = 1 × 22/3 × 2/3

                                                = 44/9 cm

No. of cube can be filled in the prism = 1/27 ÷ 44/9

                                                              = 1/27 × 9/44

                                                              = 1/3 × 1/44

                                                              = 1/132

∴ It takes 1/132 cubes to fill prism.

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