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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. Calculate the total volume of concrete required to build the terrace

Q : 5     A small terrace at a football ground comprises of   steps each of which is m long and   built  of solid concrete. Each step has a rise of      and a tread of    . (see Fig. ).  Calculate the total volume of concrete required to build the terrace.
[Hint : Volume of concrete required to build the first step    ] Views

It is given that
football ground comprises of   steps each of which is m long and Each step has a rise of      and a tread of
Now,
Volume required to make first step =

Similarly,

Volume required to make 2nd step =
And
Volume required to make 3rd step =

And so on
We can clearly see that this is an AP with
Now,  total volume of concrete required to build the terrace of 15 such step is

Therefore,  total volume of concrete required to build the terrace of 15 such step is

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