Question 1001730

there are six surfaces to a rectangular solid

so, the surface area of a rectangular solid is {{{SA=6*L*W}}}

if the length {{{L}}} and width {{{W}}} of the solid are equal, we have

{{{SA=6*L*L}}}

{{{SA=6*L^2}}}

is {{{SA=100cm^2}}}, we have

{{{100cm^2=6*L^2}}}......solve for {{{L}}}

{{{100cm^2/6=L^2}}}

{{{sqrt(100cm^2/6)=L}}}



then the volume is:

{{{V=L^3}}}

{{{V=(sqrt(100cm^2/6))^3}}}

{{{V=68.04cm^3}}}