Math, asked by Theking0123, 3 months ago

Question :-

If volume of a is 59319cm³, find the length of its edge


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Answers

Answered by XxLuckyGirIxX
41

\bf\purple{QuestioN:-}

If volume of a cube is 59319 cm³, find the length of its edge ?

\bf\orange{AnsweR:-}

Given :-

Volume of a cube is given as 59319cm³.

To Find :-

Length of the edges of that cube.

Solution :-

As we know that,

\huge{\boxed{\bf{Volume\:of\:a\:cube=a^3}}}}}

Here the volume is given as 59319 cm³.  

That is,

\longrightarrow\bf{a^3=59319\:cm^3}

\longrightarrow\bf{a=\sqrt[3]{59319}}

\longrightarrow\bf{a=39}

So each side of the cube = 39 cm.

Verification :-

Now we know that the sides of this cube = 39 cm.

➪ Volume of the cube = a^3

➪ As we know the volume of the given cube is 59319 cm³.

➪  a = 39 cm

➪  a = 39 cm

➪ a³ = 39³

➪ 39³ = 59319

We already had the volume = 59319 cm³.

So ,

LHS = RHS

Hence verified !

Here We Done ! ❤

Answered by singhkusum4400
1

Answer:

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