Question

A cube floating on mercury has one fourth of its volume submerged. If enough water is added to cover the cube, what fraction of its volume will remain immersed in mercury?

Answer 1

ᴛʜɪꜱ ɢɪᴠᴇꜱ ᴜꜱ ᴛʜᴇ ꜰʀᴀᴄᴛɪᴏɴ ꜱᴜʙᴍᴇʀɢᴇᴅ: ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏꜰ ɪʀᴏɴ ᴡɪᴛʜɪɴ ᴛʜᴇ ᴍᴇʀᴄᴜʀʏ ᴅɪᴠɪᴅᴇᴅ ʙʏ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴛʜᴇ ᴍᴇʀᴄᴜʀʏ ᴘɪᴇᴄᴇ. ꜱᴏ ᴛʜᴀᴛ'ꜱ 7.8 ᴛɪᴍᴇꜱ 10 ᴛᴏ ᴛʜᴇ 3 ᴋɪʟᴏɢʀᴀᴍꜱ ᴘᴇʀ ᴄᴜʙɪᴄ ᴍᴇᴛᴇʀ—ᴅᴇɴꜱɪᴛʏ ᴏꜰ ɪʀᴏɴ— ᴅɪᴠɪᴅᴇᴅ ʙʏ 13.6 ᴛɪᴍᴇꜱ 10 ᴛᴏ ᴛʜᴇ 3 ᴋɪʟᴏɢʀᴀᴍ'ꜱ ᴘᴇʀ ᴄᴜʙɪᴄ ᴍᴇᴛᴇʀ—ᴅᴇɴꜱɪᴛʏ ᴏꜰ ᴍᴇʀᴄᴜʀʏ— ᴡʜɪᴄʜ ɪꜱ 0.57.