# How to Calculate the Solid Volume of Concrete Per Sack of Cement

## What is the solid volume of concrete one could obtain per sack of cement?

Given a concrete mix prepared with 1:2.1:2.3 ratio and a water cement ratio of 0.52, what is the solid volume of concrete one could obtain per sack of cement (sack of cement is 94 lbs)?

## Answer:

The solid volume of concrete obtained per sack of cement, considering a mix ratio of 1:2.1:2.3 and a water-cement ratio of 0.52, is approximately 3.8 cubic feet.

In order to calculate the solid volume of concrete per sack of cement, we need to consider the mix ratio of 1:2.1:2.3 (Cement:Sand:Stone) and the water-cement ratio of 0.52.

Given that a sack of cement weighs 94 lbs, the ratio of cement to the total volume of all components (Cement + Sand + Stone) is 1/(1+2.1+2.3) = 0.194.

Additionally, water is added with a water-cement ratio of 0.52, meaning for every 1 part of cement, 0.52 parts of water are used. This leaves us with a solid content volume of 1 part cement = 1 - 0.52 = 0.48 part.

Therefore, for each sack of cement, one could obtain a solid volume of 94 lbs * 0.194 * 0.48 = 8.84 lbs. This translates to approximately 3.8 cubic feet, considering the specific gravity of cement to be 3.15 g/cm3 or roughly 62.4 lbs/cu. ft.