How to Calculate Concrete Mixture Ratio

What are the ingredients needed to make concrete?

To make concrete, Hassan needs cement, sand, and aggregate mixed in the ratio 2:5:7. If the quantity of cement used to concrete a building is 3 tonnes, then:

A) How much total concrete can he make?

B) How much sand is needed to make the concrete?

Answer:

To make concrete, the total concrete that Hassan can make is 21 tonnes, and he needs 7.5 tonnes of sand for the 3 tonnes of cement, based on the given ratio of cement, sand, and aggregate which is 2:5:7.

Concrete is a fundamental building material that requires careful calculation of the mixture ratio to ensure strength and durability. In Hassan's case, the concrete mixture comprises three main ingredients: cement, sand, and aggregate. These materials are combined in the ratio of 2:5:7, respectively.

When Hassan uses 3 tonnes of cement to concrete a building, we can calculate the total amount of concrete he can make by understanding the ratio. The total ratio of the mixture is 2 (cement) + 5 (sand) + 7 (aggregate) = 14 parts. Therefore, for every 2 parts of cement used, 14/2 = 7 parts of concrete are produced. Hence, 3 tonnes of cement will yield 3 * 7 = 21 tonnes of concrete in total.

Additionally, to determine the amount of sand needed, we can refer to the mixture ratio. For every 2 parts of cement, 5 parts of sand are required. Hence, when 3 tonnes of cement are used, the amount of sand needed is 3 * 5/2 = 7.5 tonnes.

This calculation showcases the importance of understanding ratios in mixture preparation and highlights the precise measurements required in concrete construction. By following the correct ratio, Hassan can ensure the quality and strength of the concrete used in his building projects.