Question

TSA OF A CUBE IS 1350sq.mts . FIND ITS VOLUME​

Answer 1

Step-by-step explanation:

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HERE IS YOUR ANSWER

=>TSA OF CUBE = 6a² =1350

6a²=1350

a²= 1350/6 => 225

a =15 cm

therefore : edge of a cube is 15 cm

VOLUME OF A CUBE IS =a³

a³= 15³

15³ => 3375

THEREFORE THE VOLUME

OF CUBE IS 3375 cubic cm

Answer 2

$\bf \underline{Given} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \bullet \: TSA \: of \: cube = 1350m {}^{2} . \\ \\ \bf \underline{To \: Find} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \bullet \:Volume \: of \: cube. \\ \\ \bf \underline{Formula} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \bullet \:Volume \: of \: cube = (side) {}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \bullet \:TSA\: of \: cube = 6(side) {}^{2} .$

$\\ \bf \underline{Solution} \\ \sf Total \: surface \: area \: of \: cube = 6(side) {}^{2} \\ \sf1350m {}^{2} = 6(side) {}^{2} \\ \sf side {}^{2} = \frac{1350}{6} m\\ \sf side {}^{2} = 225m \\ \sf \: side = \sqrt{225} \\ \sf \: side = 15m$

$\\ \implies \bf Volume \: of \: cube = (side) {}^{3} \\ \to \sf Volume \: of \: cube = (15) {}^{3} \\ \to \sf\: Volume \: of \: cube = 15 \times 15 \times 15 \\ \small \boxed {\boxed {\tt \green {\to\sf = 3375m {}^{3} }}}$

$\bf \therefore \underline{volume \: of \: cube = 3375{}{3}}$