Question

The volume of a cube is 729 cm 3 . Find its surface area.

Answer 1

1) let the edge of the cube = a cm

volume(v)= a^3

a^3 = 729

a^3 = (9cm)^3

a = 9cm

2)
lateral surface area = 4 a^2
= 4* 9^2
= 4* 81
=324cm^2

total surface area = 6a^2
= 6* 9^2
= 6*81
=486 cm^2

Answer 2

Answer:

=> $486cm^2$

Step-by-step explanation:

As per the data given in the question, we have to find the surface area

Given that:-

The volume of cube = $729cm^3$

To find:- Surface area,

As we know that, the formula

The volume of cube = $a^3$

By putting the given values we get,

$=>729cm^3=a^3$

$=>\sqrt[3]{729}=a$

$=>a=9cm$

The formula of the surface area of a cube,

=> $6a^2$

$=>6\times (9)^2$

$=>6\times 81$

$=> 486cm^2$

Hence, the surface area is $486cm^2$.