Question

If volume of a cube is 17 28 cm cube then find its surface area of a cube

Answer 1

let side of a cube is x

volume of cube is 1728

volume of cube = l × l × l

1728 = x cube

then,

1728 is in cube root

3√1728 = x

12 = x

x = 12cm

side of cube = 12cm

suface area of cube is 6a^2

= 6 × 12 × 12

= 6 × 144

= 864cm

surface area of cube is 864 cm is your final answer.

thanks

Answer 2

Given that

Volume of cube is .

$172 {8}^{3}$

To find

Surface area of cube

Solution

Let s as side of cube

v as volume of cube

a as surface area of cube

As we know that

$v = {s}^{3}$

hence

${s}^{3} = 1728$

as 1728 is the cube of 12 hence

$s \: = 12cm$

Now we can find surface area of cube

$a = 6 \times {s}^{2}$

$a = 6 \times {12}^{2}$

by multiplication we get

$a = 864 {cm}^{2}$

Hence surface area of cube is

$864 {cm}^{2}$