Question

The side of the cube whose volume is 343000 cubic cm is equal to

Answer 1

$\underline{\underline{\pink{\sf Answer}}}$

☞ Side of cube = 70 cm

$\underline{\underline{\red{\sf Given}}}$

✭ Volume of a cube is 343000 cm³

$\underline{\underline{\green{\sf To \ Find}}}$

◈ The side of the cube?

$\underline{\underline{\blue{\sf Steps}}}$

$\sf\star\: Diagram \:\star$

$\setlength{\unitlength}{0.9 cm}\begin{picture}(12,4)\thicklines\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

So here we know that the volume of a cube is given by,

$\underline{\boxed{\sf Volume \ Of \ cube = a^3}}$

Where a is the side of the cube....so on substituting the volume given in the formula

➝ a³ = 343000

➝ $\sf a = \sqrt[3]{343000}$

343000 = 5 × 5 × 5 × 7 × 7 × 7 × 2 × 2 ×2

➝ Side of the cube = 5 × 7 × 2

➝ Side of the cube = 70 cm

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