Each step has a rise of 1/5 m and a tread of 1/2 m. (see Fig. 5.8). Calculate the total volumeof concrete required to build the terrace

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

.Arithmetic

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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

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

Sum of 15 terms can be calculated as follows

Arithmetic

artematic

 

  = 750

Hence, the volume of concrete will be 750m3

 

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