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How many cubes with side lengths of 1/4 cm does it take to fill the prism?
2 cm
7/4 cm
1 cm


Sagot :

Numbers of cubes are  224

We have been given that

side length of cubes is = 1 /4 cm

dimension of prism are

2 cm

7/4 cm

1 cm

Each cube with side lengths of 1/4 have a volume of (1/4)3 . To find how many cubes are needed to fill the prism.

Prism: A glass or other transparent object in prism form, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colors.

To compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

Prism volume = l×w×h

Cube volume = (side)³

than Prism volume =(2×7/4×1)cm

                               = (3.5)cm

and cube volume = (1/4)³cm

                            = (1/64)cm

Then the number of cubes that will fit in the prism is ...

(Prism volume)/(cube volume)

(3.5)/(1/64)cm= 224 cubes

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