Question

find out length of each side of a cube with volume of 512m

Answer 1

Answer:

the length of each side of cube is 8m long.

Answer 2

GIVEN :

volume of cube = 512 m³

TO FIND :

length of each side of the cube whose volume is given.

FORMULA USED :

Volume of cube =>

${a}^{3}$

where , a = length of each side of the cube

SOLUTION :

Volume of cube = a³

Therefore According to the question :-

=> 512 = a³

$\sqrt[3]{512} = a$

$\sqrt[3]{8 \times 8 \times 8 } = a$

${8}^{3 \times \frac{1}{3} } = a$

$8 = a$

ANSWER :

length of each side of a cube = 8 metres

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FEW MORE FORMULA

RELATED TO CUBE :-

TOTAL SURFACE AREA OF CUBE = 6a²

LATERAL SURFACE AREA OF CUBE = 4a²

( where a = each side of given cube)