Question

find the edge of the cube whose volume is 1728 cm^3

Answer 1

Answer:

12

Step-by-step explanation:

edge = a

volume = a³

1728 = a³

a³=1728

a=³√1728

a=12cm

Answer 2

Given :

• volume of cube = 1728 cm³

To find :

• the edge of cube

Formula used :

$V = {a}^{3}$

where :-

• V = volume of cube

• a = the edge of cube or length of each side of cube

Solution :

Volume of cube = 1728 cm³

Now , According to the question :-

$\implies 1728= {a}^{3}$

or

$\implies {a}^{3} = 1728$

$\implies a = {(1728)}^{ \frac{1}{3} }$

$\implies a = \sqrt[3]{1728}$

$\implies \: a= \sqrt[3]{2 \times 2 \times 2 \times 6 \times 6 \times 6}$

$\implies \: a= \sqrt[3]{ {2}^{3} \times {6}^{3} }$

$\implies \: a= \sqrt[3]{{2}^{3}} \times \sqrt[3]{{6}^{3} }$

$\implies \: a= 2 \times 6$

$\implies \: a= 12cm$

Answer :

length of each side of cube = 12 cm

_______________________

$\large\bf\red{Additional-Information}$

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = (4/3)πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

_____________________