Question

2. Find the side of the cube having a volume of 1,728 cm3.​

Answer 1

Answer:

that is 12cm

Step-by-step explanation:

take the cube root of 1728

Answer 2

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$\mathtt{\huge{\underline{\red{Answer\: :}}}}$

✒ Given:

• Volume of a cube =1,728cm³

✒ To find :

• sides of the cube=?

✒ Formula :

• Volume of cube =a³
• opposite sides of a cube(a) are equal ...(identity)

✒ Solution :

$\\ \: \ \qquad \implies \displaystyle \bf \: volume \: \: of \: \: the\: \: cube \: = {a}^{3}$

$\\ \: \qquad \implies \displaystyle \sf \: volume \: of \: the \: cube \: = {a}^{3}$

$\: \\ \qquad \implies \displaystyle \sf \: 1728 = {a}^{3} ..........(given)$

$\: \\ \: \qquad \implies \displaystyle \sf \: {a}^{3} = 1728 {cm}^{3}$

$\: \\ \qquad \implies \displaystyle \sf \: a = \sqrt[3]{1728}$

$\: \\ \qquad \implies \displaystyle \sf \: a = {(12 \times 12 \times 12)}^{ \frac{1}{3} }$

$\: \\ \qquad \implies \displaystyle \sf \: a = { {12}^{3} }^{ \frac{1}{3} }$

$\: \\ \qquad \implies \displaystyle \sf \: a = {12}^{ \cancel {3}^{ \ \cancel{ \frac{1}{3} } } }$

$\: \\ \: \qquad \implies \displaystyle \sf \: a = 12cm$

$\: \\ \underline{\bullet { \bf{the \: sides \: of \: the \: cube \: is \: 12cm}}}$

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❄ Hope this answer helps u ⛄