Question

A water trough in the shape of a prism has trapezoidal faces. length of the trough is 80 cm . it is to be painted inside and outside . width of the tank is 2 m
how many litres of water can it hold
​

Answer 1

$\huge\underline{\pink{{Question:-}}}$

☞ A ᴡᴀᴛᴇʀ ᴛʀᴏᴜɢʜ ɪɴ ᴛʜᴇ sʜᴀᴘᴇ ᴏғ ᴀ ᴘʀɪsᴍ ʜᴀs ᴛʀᴀᴘᴇᴢᴏɪᴅᴀʟ ғᴀᴄᴇs. ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴛʀᴏᴜɢʜ ɪs 80 ᴄᴍ . ɪᴛ ɪs ᴛᴏ ʙᴇ ᴘᴀɪɴᴛᴇᴅ ɪɴsɪᴅᴇ ᴀɴᴅ ᴏᴜᴛsɪᴅᴇ . ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ᴛᴀɴᴋ ɪs 2ᴍ .ʜᴏᴡ ᴍᴀɴʏ ʟɪᴛʀᴇs ᴏғ ᴡᴀᴛᴇʀ ᴄᴀɴ ɪᴛ ʜᴏʟᴅ.

$\huge\underline{\purple{{To find:-}}}$

• Tʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴘʀɪsᴍ.

$\huge\underline{\pink{{Solution:-}}}$

Wᴇ ʜᴀᴠᴇ ʙᴇᴇɴ ɢɪᴠᴇɴ ᴀ=50 ,ʙ=75 ᴀɴᴅ ʜᴇɪɢʜᴛ ɪs 10 ᴄᴍ

Sᴏ, ᴛʜᴇ ʙᴀsᴇ ᴀʀᴇᴀ ᴡɪʟʟ ʙᴇ:

$\frac{1}{2} (sum \: of \: base).height$

$base \: of \: area = \frac{1}{2} 1250$

$base \: area = 625$

Nᴏᴡ, ᴛʜᴇ ᴛᴏᴛᴀʟ ᴀʀᴇᴀ ᴏғ ᴘʀɪsᴍ ᴡɪʟʟ ʙᴇ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴄᴜʀᴠᴇ x ʙᴀsᴇ ᴀʀᴇᴀ.

$☞ \: \: 625.80 \:$

$☞ \: \: 50,000$

Tʜᴇ ᴄᴏsᴛ ᴏғ Rs 100 ᴘᴇʀ sϙᴜᴀʀᴇ ᴍᴇᴛʀᴇ

Sᴏ, ᴛʜᴇ Aʀᴇᴀ ᴏғ ᴘʀɪsᴍ ɪs 50,000 sϙᴜᴀʀᴇ ᴄᴍ.

Tᴏ ᴄᴏɴᴠᴇʀᴛ ɪᴛ ɪɴ ᴍᴇᴛʀᴇs.

$1cm = \frac{1}{100} m$

$50000cm = 500m$

$the \: total \: cost \: would \: be \: 100 = 50000$

Hᴏᴘᴇ ɪᴛ ᴡɪʟʟ ʜᴇʟᴘ ʏᴏᴜ ☺️