Question

find the side of a cube whose surface area is 256 cm²​

Answer 1

Answєr :-

Given :

• Surface area - 256cm²

To find :

• Side

Proof :

• Surface area - 256cm²

Let, Side of a cube be "a"

Surface area of a square - 6a²

→ 256 = 6 × a²

→ 256

____ = a²

6

→ 4.41 = a²

→ a = √4.41

→ a = 6.6 cm

Therefore ,

Side of the cube is 6.6cm

Hᴏᴘᴇ Tʜɪs Hᴇʟᴘs Yᴏᴜ

Answer 2

$\huge \sf \color{blue}\underline{\underline{Answer }}:$
$\\ \\ \large \sf Side \: of \: cube \: = \: 6.532$
$\\ \\ \huge \sf \color{blue}\underline{\underline{Solution }}:$
➣ Surface area = 256

$\large \color{green}\boxed{\sf Surface \: area \: of \: cube \: = 6a²}$

➩ Surface area = 6a²
➩ 256 = 6a²
➩ 6a²= 256
➩ $a² = \frac{256}{6} \\ \\ ➩ a² = \frac{128}{3} \\ \\ ➩ a = \sqrt{\frac{128}{3}} \\ \\ \boxed{\sf a = 6.532 }$