Math, asked by akashsamal2828, 11 months ago

Find the volume of cubical box whose surface area is 486

Answers

Answered by Anonymous
25

Answer:-

V = 729cm³

Given :-

Surface area of cubical box = 486 cm²

To find :-

The volume of cubical box.

Answer:-

We know that the total surface of area of cube is given by :-

\boxed{\sf{TSA = 6(side)^2}}

Now, put the value,

 486 = 6(side) ^2

(side) ^2 = \dfrac{486}{6}

(side)^2 = 81

side = \sqrt{81}

side= 9 cm

Now, Volume of cube is given by :-

\boxed{\sf{V = (side) ^3}}

 V = (9) ^3

V = 729 cm^3

hence,

The volume of cubical box is 729 cm³.

Answered by Blaezii
6

Answer:

V = 729cm³

Step-by-step explanation:

Given Problem:

Find the volume of cubical box whose surface area is 486.

Solution:

To Find:

The volume of cubical box.

-----------------------

Method:

Given that,

Surface area of cubical box = 486 cm²

We know that:

\implies\ TSA = 6(side)^2

Now,

\rightarrow\ 486 = 6(side)^2

\rightarrow\ (side)^2 = \dfrac{486}{6}

\rightarrow\ (side)^2 = 81

\rightarrow\ side = \sqrt{81}

\rightarrow\ side = 9cm

We also know that,

\implies\ V = (side)^3

Now,

\rightarrow\ V =(9)^3

\rightarrow\ V =729\:cm^3

Therefore,

The volume of cubical box is 729 cm³.

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