Question

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If the total surface area of a cube is 24a- cm", find(ii) the length of a diagonal, and (iii) the volume.​

Answer 1

$\huge\underline\mathfrak\red{ANSWER}$

$total \: area \: of \: cube = 6 {a}^{2} \\ \\ where \: a \: is \: the \: edge \: of \: cube \\ \\ acc \: to \: question \: total \: area = 24 {cm}^{2} \\ \\ 6 {a}^{2} = 24 \\ \\ {a}^{2} = 4 \\ a = 2cm \\ \\ diagonal \: of \: cube = a \sqrt{ 3} \\ \\ diagonal \: of \: cube = 2 \sqrt{3} \\ \\ volume \: of \: the \: cube = {a}^{3} \\ \\ volume \: of \: cube = {2}^{3} = 8 {cm}^{3}$

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