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Question Number 5533 by Rasheed Soomro last updated on 18/May/16

$$\mathrm{Measure}\mathrm{of}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{a}\mathrm{cube}\mathrm{is}\mathrm{double}$$$$\mathrm{of}\mathrm{the}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{cube}\mathrm{inside}\mathrm{it}.$$$$\mathrm{What}\mathrm{is}\mathrm{empty}\mathrm{space}\mathrm{in}\mathrm{larger}\mathrm{cube}?$$

Commented by FilupSmith last updated on 18/May/16

$$\mathrm{Empty}\mathrm{space}\mathrm{is}\mathrm{equal}\mathrm{to}\mathrm{the}\mathrm{larger}$$$$\mathrm{cube}\mathrm{subtract}\mathrm{the}\mathrm{smaller}.$$$$$$$$V_{small}=x^3$$$$V_{double}={\left(2x\right)}^3=8x^3$$$$V=8x^3-x^3=7x^3$$

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