How many cubes that measure 2 inches by 2 inches by 2 inches would fit inside a cube that measures 10 inches by 10 inches by 10 inches? Justify.

Respuesta :

25, because a cube that is 10x10 would have an area of 100. and the cubes that are 2x2 would have an area of 4. so you take 100 and divide it by 4. answer is 25.

The number of the small cube that fits inside the larger cube is 125.

Given to us,

Side of small cube, s = 2 inches,

Side of larger Cube. S = 10 inches,

We know that volume of a cube is given by , where "a" is the side of the cube.

Volume of the small cube = s³ = 2³ = 8 in.³

Volume of the Larger cube = S³ = 10³ = 1000 in.³

The number of the small cube that fits inside the larger cube

                                           [tex]\bold{=\dfrac{Volume\ of\ the\ Larger\ cube}{Volume\ of\ the\ small\ cube} }[/tex]

                                           [tex]\bold{=\dfrac{1000}{8} = 125 }[/tex]

Hence, the number of the small cube that fits inside the larger cube is 125.

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