Question

The lateral surface area of a cube is 576 square cm find its volume and the total surface area

Answer 1

LSA of cube = 4s^2
576 = 4s^2
s^2 = 576/4 = 144cm^2
s = 12cm

tsa of cube=6s^2 = 12×12×6 = 144×6 = 864cm^2

volume = s^3 = 12^3 = 1768cm^3

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Answer 2

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your answer⬇⬇⬇

$4a {}^{2} = lateral \: surface \: area \\ 4 {a}^{2} = 576 \\ {a}^{2} = \: \frac{576}{4} \\ {a}^{2} = 144 \\ a = 12 \\ \\ total \: surface \: area = 6 {a}^{2} = 6 \times 144 = 864 {cm}^{2} \\ volume = {a}^{3} \\ volume = 12 \times 12 \times 12 = 1728 {cm}^{3}$