Question

the total surface area of a cube is 1350 CM square find the length of the key of a cuboid whose Length breadth is 15 cm height is 13.7 cm and then the surface area of a cuboid is 1 cm square less than the cube

Answer 1

total surface area of cube = 1350 sq.cm
total surface area of cuboid = (1350 -1 )sq.cm
breadth(b) = 15 cm
height (h) = 13.7 cm
Length (l) = ?
And we know that,
total surface area of cuboid = 2× ( lb × bh × hl )
2 ( l × 15 + 15 × 13.7 + 13.7 × l) = 1349
length = 16.34 cm (approx)

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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