Cement Bag Calculation for Concrete

This solution explains how to calculate the number of standard cement bags required for a specific quantity of concrete using weight batching.

Calculating Cement Weight

1. Determine the total parts in the given ratio: The ratio for concrete is 1:2:4 (Cement:Sand:Aggregate). Total parts = $1 + 2 + 4 = 7$.

2. Calculate the weight of cement needed. The total concrete weight is 1400 kg. Weight of Cement = $ \left( \frac{\text{Cement Part}}{\text{Total Parts}} \right) \times \text{Total Weight} $ Weight of Cement = $ \left( \frac{1}{7} \right) \times 1400 \, \text{kg} = 200 \, \text{kg} $.

Determining Number of Cement Bags

1. Find the number of standard cement bags. A standard cement bag weighs 50 kg. Number of Bags = $ \frac{\text{Total Weight of Cement}}{\text{Weight per Bag}} $ Number of Bags = $ \frac{200 \, \text{kg}}{50 \, \text{kg/bag}} = 4 \, \text{bags} $.

Therefore, 4 standard cement bags are required.