Question

29791
. The volume of a cubical box is n3. Find
its side.
216​

Answer 1

GIVEN:

• Volume of cubical box = 29791/216 m³

TO FIND:

• What is the side of the cube ?

SOLUTION:

Let the side of the cube be 'x' m

To find the volume of cube, we use the formula:-

❰ VOLUME = (Side)³ ❱

We have given the Volume is 29791/216 m³

According to question:-

➱ $\sf{\dfrac{29791}{216} }$ = a³

➱ $\sf{ \sqrt{\dfrac{29791}{216}}}$ = a

➱ $\sf{\dfrac{31}{6}}$ = a

❝ Hence, the side of the cube is 31/6 m ❞

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Extra Information:

✧ The edges of a cube of are equal in length.

✧ The measure of each angle of cube is 90°

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Answer 2

Answer:

We know that the formula for finding the volume of cube is →

Volume=S×S×S

Now if the given volume is 32.786, all you have to do is find the cube root of 32.786

That is,

32.786^1/3.

On the calculator it is about 3.20058583

So the side should be about 3.20058583m.

You can round it off to about 2 decimals.