Mathematics: Acube has a side length of 1/3 inch .. how many blocks with a side length of 1/6 inch would it take to fill the cube

2(x-6)=-35 is equivalent to 2x=-23...

Acube has a side length of 1/3 inch .. how many

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AliceYT

11.03.2022

Mathematics

let's bear in mind that a rectangular prims, namely a box, has a volume of length*width*height.

a cube is a rectangular prism with all sides equal, so if one sides is 1/3, all sides are 1/3, that means

$\bf \stackrel{\textit{volume of large cube}}{\cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3}\implies \cfrac{1}{27}}~\hspace{10em} \stackrel{\textit{volume of small cube}}{\cfrac{1}{6}\cdot \cfrac{1}{6}\cdot \cfrac{1}{6}\implies \cfrac{1}{216}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{how many times does }\frac{1}{216}\textit{ go into }\frac{1}{27}?}{\cfrac{1}{27}\div \cfrac{1}{216}\implies \cfrac{1}{27}\cdot \cfrac{216}{1}}\implies \cfrac{216}{27}\implies 8$

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Acube has a side length of 1/3 inch .. how many blocks with a side length of 1/6 inch would it take to fill the cube

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