Math, asked by jikki624, 1 year ago

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 sarveshada
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.

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Answered by Anonymous
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

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