Question

Find the volume of a cube whose total surface area is 486cm²..????​

Answer 1

Answer:

$729cm {}^{2}$

Step-by-step explanation:

Given,

surface area of cube=486cm^2

let 'S' be side of cube

Surface area of cube=486cm^2

6 x S x S =486cm

S^2=486

6

S^2=81

S=√81

S=9cm

volume of cube=S x S x S

=9x9x9

$= 729cm {}^{2}$

Answer 2

$\tt{⁣Question}$

Find the volume of a cube whose total surface area is 486cm²

Solution

Given that,

Total surface area of cube = 486cm²

let the side of Square be a

we know that,

total surface area of cube= 6a²

⁣           ⁣    ⁣     486=6a²

$\tt{⁣→        ⁣          \frac{486}{6}=a²}$

$\tt{⁣⁣→      ⁣          \frac{\cancel{486} ⁸¹}{\cancel{6}}=a²}$

$\tt{⁣⁣→       \ \ \ \   ⁣      81=a²}$

$\tt{⁣⁣→           ⁣       a= \sqrt{81}}$

$\tt{⁣⁣→           ⁣       a= \sqrt{9 \times 9 }}$

$\tt{⁣⁣→           ⁣       a= \sqrt{9²}}$

$\tt{⁣⁣→           ⁣       a= 9cm}$

we need to find volume of cube

$\tt{⁣Volume\ of\ cube\ = a³}$

$\tt{⁣Volume\ of\ cube\ = 9 \times 9 \times 9}$

$\tt{⁣Volume\ of\ cube\ = 729 cm³}$

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MORE INFORMATION

$\sf{Surface\ area\ of\ cube= 2(lb+bh+hl) }$

$\sf{Total\ surface\ area\ of\ cylinder=2πr(l+r) }$