Q. 54.3( 138 Votes )

A small terrace at a football ground comprises of 15 steps each of which is 50 m long andbuilt of solid concrete.

Each step has a rise ofm and a tread ofm. (see Fig. 5.8). Calculate the total volumeof concrete required to build the terrace.

[Hint : Volume of concrete required to build the first step ]


Answer :

Dimensions of 1st step = 50 m x 0.25 m x 0.5 m


Volume of 1st step = 6.25 m3


Dimensions of 2nd step = 50 m x 0.5 m x 0.5 m


Volume of 2ndstep = 12.5 m3


Dimensions of 3rdstep = 50 m x 0.75 m x 0.5 m


Volume of 3rdstep = 18.75 m3


Clearly, volumes of respective steps are in AP

Now, we have a = 6.25, d = 6.25 and n = 15


Sum of 15 terms can be calculated as follows:


S15



= 750


Hence, the volume of concrete will be 750m3

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