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A small terrace at a football ground com...

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise of `1/4`m and a tread of `1/2`m. Calculate the total volume of concrete required to build the terrace.

Text Solution

Verified by Experts

Volumeof 1st step=`1/4*1/2*50=50/8`
Volume of 2nd step=`2/4*1/2*50=100/8`
Volume of 3rd step=`3/4*1/2*50=150/8`
Volume are in AP
`S_n=n/2(2a+(n-1)d)`
`S_15=15/2(2(50/8)+(15-1)50)`
`S_15=750m^3`
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A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete . Each step has a rise of 1/4 m and a tread of 1/2 m ( ss fig ) .Caculate the total valoume of concrete required to build the terrace . [ Hint : volume of concrete required to build the first step = 1/4 xx 1/2 xx 50 m^(3) ]

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Knowledge Check

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