Question

find the surface area of a cube whose volume is 216 centimetres square​

Answer 1

$\purple{\boxed{\tt{Given࿐ :-}}}$

• Shape = Cube
• Volume of Cube = 216cm³

$\red{\boxed{\tt{To\: Find :-}}}$

• Surface Area of the Cube

$\orange{\boxed{\tt{Solution :-}}}$

⟹⠀Volume of Cube =Side×Side×Side

⟹⠀⠀Volume of Cube = (Side)³

⟹⠀⠀216 = (Side)³

⟹⠀⠀³√216 = Side

$\blue{\boxed{\bf{⟹\:6cm = Side}}}$

$\pink{\bf{\underline{Now,}}}$

➞ Surface Area of Cube = 6×(Side)²

➞ Total Surface Area of Cube=6×(6)²

➞ Total Surface Area of Cube=6×6×6

➞ Total Surface Area of Cube=6×36

$\purple{\boxed{\tt{➞Total\: Surface \:Area \:of \:Cube = 216cm³}}}$

$\green{\bf{Therefore, T.S.A \:of\: Cube =}} {\red{\boxed{\tt{216\:cm³}}}}$

________________

$\red{\bf{✿┅═══❁✿ Be\: Brainly✿❁═══┅✿}}$

Answer 2

Aɴsᴡᴇʀ⤵️

Sʜᴀᴘᴇ :- Cᴜʙᴇ

Vᴏʟᴜᴍᴇ ᴏғ Cᴜʙᴇ = 216³

ғɪɴᴅ :- sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄᴜʙᴇ

sᴏʟᴜᴛɪᴏɴ :-

Vᴏʟᴜᴍᴇ ᴏғ ᴄᴜʙᴇ = sɪᴅᴇ× sɪᴅᴇ× sɪᴅᴇ

Vᴏʟᴜᴍᴇ ᴏғ ᴄᴜʙᴇ = (216)³

√216 = 6

Sɪᴅᴇ = 6ᴄᴍ

Sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄᴜʙᴇ = 6ᴄᴍ

Vᴏʟᴜᴍᴇ ᴏғ ᴄᴜʙᴇ = 216ᴄᴍ

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