In preparing concrete with a 1:2:4 volumetric ratio, how much gravel should be mixed with 22 bags of cement?

To determine how much gravel should be mixed with 22 bags of cement using a 1:2:4 volumetric ratio, it is essential to understand the meaning of this ratio. The ratio indicates the proportion of cement, sand, and gravel in the concrete mix. Specifically, for every 1 part of cement, there are 2 parts of sand and 4 parts of gravel.

First, we need to ascertain the total parts involved in the mix. The total parts add up to 1 (cement) + 2 (sand) + 4 (gravel) = 7 parts.

Now, since you have 22 bags of cement, this corresponds to 22 parts of cement in the mixture. To find the amount of gravel, we will use the ratio to identify how many parts of gravel are needed.

The cement represents 1 part, and gravel represents 4 parts. Therefore, the amount of gravel should be four times the amount of cement in terms of parts. If we have 22 bags of cement (22 parts), the gravel needed will be:

[ \text{Gravel} = 22 \text{ (cement bags)} \times \frac{4 \text{ (gravel parts)}}{1