Respuesta :
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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