Question

The volume and total surface area of a cube are equal find the length of its side

Answer 1

AS WE KNOW THAT THE CUBE IS A CLOSED FIGURE WHICH IS FORMED BY COMBINING 6 SQUARES......[∆]

$as \: we \: know \: that \\ \\ volume \: of \: the \: cube = {a}^{3} \\ where \: a \: is \: the \: side \: of \: the \: square \\ \\ total \: surface \: of \: the \: square = 6 {a}^{2} \\ \\ acc \: to \: your \: question.... \\ \\ 6 {a}^{2} = {a}^{3} \\ a = 6 \: units \\ \\ as \: you \: not \: mentioned \: about \: the \: \\ surface \: area \: of \: cube \: there \: are \: two \\ type \: of \: surface \: area \: one \: is \: total \: \\ and \: other \: is \: lateral \: in \: which \: \\ we \: count \: only \: four \: sides \: or \: phases \\ except \: any \: two... \\ \\ lateral \: surface \: are \: of \: cube = 4 {a}^{2} \\ \\ for \: this \: {a}^{3} = 4 {a}^{2} \\ a = 4 \: units$

MATCH YOUR ANSWER......{∆}

IF THE QUESTION INVOLVE TOTAL SURFACE AREA THAT FIRST IS CORRECT BUT IF LATERAL IS INVOLVED THAT SECOND ONE IS RIGHT.....°^°