Question

# What is the quantity of cement that will produce 1m3 using the ratio of 1 2 4

### Where am I?

Fasi Ur Rahman
Author at The Constructor

Hello Abigail,
M15 grade concrete has the proportion of 1:2:4 of cement, fine aggregate, and Course aggregate.

Density of Cement = 1440 kg/cum (Approx)

Volume of 1 Kg of Cement = 1/1440 = 0.000694 cum

Volume of 01 bag (50 kg) of cement = 50 X 0.000694 = 0.035 cubic meter (cum)

As the volume of 1kg of cement is calculated, the volume of FA and CA is also calculated based on the given ratio 1:2:4.

Volume of Sand required would be = 0.035*2 = 0.07 cubic meter (cum)

Volume of Aggregate required would be = 0.035*4 = 0.14 cubic meter (cum)

Convert Volume requirements to Weight:

So, FA required = 0.072*1600 = 115 kgs

and CA required = 0.144*1450 = 209 kgs

Considering water/cement (W/C) ratio of 0.55

We can also arrive at the Water required = 50*0.55 = 27.5 kg
So, the weight of concrete produced with 1 Bag of cement (50 Kgs) =50 kg + 115 kg + 209 kg + 27.5 kg = 401.5 kg ~ 400 kgs

Considering concrete density = 2400 kg/cum,

One bag of cement and other ingredients can produce = 400/2400 = 0.167 Cum of concrete (1:2:4)

Cement required for 1cum of concrete = 1/0.167 = 5.98 Bags ~ 6 Bags