Question

6. The total surface area of a cube is 96 cm. Find the volume of the cube.​

Answer 1

Answer:

volume will be 64 cm² hope it helps

Answer 2

$\huge\over\underline{ \mathfrak{Answer}}$

sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴄᴜʙᴇ = 96 ᴄᴍ2

sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴄᴜʙᴇ = 6 (sɪᴅᴇ)2 = 96

• ⇒ (sɪᴅᴇ)^2 = 16

• ⇒ (sɪᴅᴇ) = 4 ᴄᴍ

[ᴛᴀᴋɪɴɢ ᴘᴏsɪᴛɪᴠᴇ sϙᴜᴀʀᴇ ʀᴏᴏᴛ ʙᴇᴄᴀᴜsᴇ sɪᴅᴇ ɪs ᴀʟᴡᴀʏs ᴀ ᴘᴏsɪᴛɪᴠᴇ ϙᴜᴀɴᴛɪᴛʏ]

ᴠᴏʟᴜᴍᴇ ᴏғ ᴄᴜʙᴇ = (sɪᴅᴇ)3 = (4)3 = 64 ᴄᴍ3

ʜᴇɴᴄᴇ, ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴄᴜʙᴇ ɪs 64 ᴄᴍ3.