A small terrace at a football ground comprises of 15 steps each of which is 50m long and built of solid concrete . each step has a rise of 1/4 m and a tread of 1/2m . calculate the total volume of concrete required to build the terrace
Answers
Answered by
17
L and B of each step is same but height will increase every time by 1/4 m. Hence we will find volume of each step by lxbxh and volumes will be in AP and we will find sn by applying formula.
Attachments:
Answered by
4
ᴀɴsᴡᴇʀ:
ᴘʀᴏᴠᴇᴅ
sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-
ɪғ ᴀ ʟɪɴᴇ ɪɴᴛᴇʀsᴇᴄᴛs sɪᴅᴇs ᴀʙ ᴀɴᴅ ᴀᴄ ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ᴀʙᴄ ᴀᴛ ᴅ ᴀɴᴅ ᴇ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ ᴀɴᴅ ɪs ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ʙᴄ, ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ᴀᴅ/ᴀʙ=ᴀᴇ/ᴀᴄ.
ᴅᴇ ║ ʙᴄ
ɪɴ Δᴀʙᴄ & Δᴀᴅᴇ
∠ᴀ = ∠ᴀ ᴄᴏᴍᴍᴏɴ ᴀɴɢʟᴇ
∠ᴀᴅᴇ = ∠ᴀʙᴄ ᴀs ʙᴄ ║ ᴅᴇ
∠ᴀᴇᴅ = ∠ᴀᴄʙ ᴀs ʙᴄ ║ ᴅᴇ
ᴀʟʟ ᴛʜʀᴇᴇ ᴀɴɢʟᴇs ᴀʀᴇ ᴇϙᴜᴀʟ
sᴏ
Δᴀʙᴄ ≅ Δᴀᴅᴇ
ɪɴ sɪᴍɪʟᴀʀ ᴛʀɪᴀɴɢʟᴇs
ᴀᴅ/ᴀʙ =ᴀᴇ/ᴀᴄ = ᴅᴇ/ʙᴄ
=> ᴀᴅ/ᴀʙ =ᴀᴇ/ᴀᴄ
ϙᴇᴅ
Similar questions
Math,
7 months ago
English,
7 months ago
English,
7 months ago
Physics,
1 year ago
Environmental Sciences,
1 year ago
Social Sciences,
1 year ago