Question

the total surface area of a cube is 1350 sq.m.find its volume

Answer 1

Hey friend!! here is your answer...

$tsa \: of \: a \: square = 6l {}^{2} \\ \\ 6l {}^{2} = 1350 \\ \\ l {}^{2} = \frac{1350}{6} \\ \\ l {}^{2} = 225 \\ \\ l = \sqrt{225} \\ \\ l = 15 \\ \\ volume \: of \: a \: square = l {}^{3} \\ \\= 15 {}^{3} \\ \\ = 3375 \\ \\ volume \: of \: the \: given \: cube = 3375 \\ \\ i \: hope \: that \: it \: helps \: you \\ \\ please \: mark \: as \: brainliest....$

Answer 2

Hi there !

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Total surface area of cube = 6 a²

But, Tsa of cube = 1350 cm²

∴ 6a² = 1350

⇒ a² = $\mathsf {\frac {1350}{6}}$

⇒ a² = 225 cm

⇒ a = √ 225

⇒ a = 15 cm

The side of the cube = 15 cm.

Now,

Volume of cube = a³

⇒ ( 15 )³

⇒ 15 × 15 × 15

⇒ 3375 cm³

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Thanks for the question !

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