Question

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

Answer 1

Let the length of the edge or side of a cube be = a meters

surface area of one face of a cube = a² 
There are 6 equal faces on a cube.
Total surface area of a cube = 6 a² = 1, 350 square meters.

             a² = 1, 350 / 6 = 225  
               a = 15 meters
 
    Volume is equal to a³ = 15 * 15 * 15 cubic meters = 3, 375 cubicmeters

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

Volume of cube : 3375 cm³
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Thanks for the question !

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