Use a normal ratio 1:3:6.50kg bag of cement is equal to 37litres.bulk density of sand is 1450kg/m3 and stone is 1600kg/m3.calculate the materials needed to construct 8m by 5m and 6m thick?

To calculate the materials needed to construct a structure that is 8m by 5m and 6m thick using a 1:3:6 ratio, we first need to calculate the volume of the structure.

Volume = Length x Width x Height
Volume = 8m x 5m x 6m
Volume = 240 cubic meters

Next, we need to calculate the amount of cement, sand, and stone needed based on the 1:3:6 ratio.

Cement:
1 part cement = 1/10 total parts
1/10 x 240 cubic meters = 24 cubic meters

Sand:
3 parts sand = 3/10 total parts
3/10 x 240 cubic meters = 72 cubic meters

Stone:
6 parts stone = 6/10 total parts
6/10 x 240 cubic meters = 144 cubic meters

Now, we need to convert the volume of each material into weight using their respective bulk densities.

Weight of Cement:
24 cubic meters x 1450 kg/m3 = 34800 kg

Weight of Sand:
72 cubic meters x 1450 kg/m3 = 104400 kg

Weight of Stone:
144 cubic meters x 1600 kg/m3 = 230400 kg

Therefore, to construct a structure that is 8m by 5m and 6m thick using a 1:3:6 ratio, you will need 34,800 kg of cement, 104,400 kg of sand, and 230,400 kg of stone.

Materials Calculations:

Step 1: Calculate the volume of concrete needed

Volume = Length x Width x Height
Volume = 8m x 5m x 6m
Volume = 240m³

Step 2: Determine the quantity of cement needed

Using the normal ratio 1:3:6.50, we can determine the quantity of cement needed per cubic meter of concrete:

Cement: 1 part = x kg
Sand: 3 parts = 3x kg
Stone: 6.50 parts = 6.50x kg
Total weight: 1x + 3x + 6.50x = 10.50x kg

Since 1 bag of cement is equal to 50kg, we can find the number of bags needed:

Bags of cement = Total weight / Bag weight
Bags of cement = 10.50x / 50 kg
Bags of cement = 0.21x

Step 3: Determine the quantity of sand and stone needed

Using the ratio and the number of bags of cement calculated in Step 2, we can find the quantities of sand and stone needed:

Sand: 3x = 3 x 0.21x = 0.63x kg
Stone: 6.50x = 6.50 x 0.21x = 1.365x kg

Step 4: Convert weight to volume

To calculate the volume of sand and stone, we need to use their bulk densities:

Volume of sand = Weight of sand / Bulk density of sand
Volume of sand = 0.63x kg / 1450 kg/m³
Volume of sand = 0.000434x m³

Volume of stone = Weight of stone / Bulk density of stone
Volume of stone = 1.365x kg / 1600 kg/m³
Volume of stone = 0.000853x m³

Step 5: Calculate the total materials needed for 240m³ of concrete

Total cement: 0.21x x 240 = 50.4x kg (or 1,008 bags)
Total sand: 0.000434x x 240 = 0.104x m³
Total stone: 0.000853x x 240 = 0.205x m³

Therefore, to construct 8m by 5m and 6m thick concrete, you will need:

- Cement: 50.4x kg (or approximately 1,008 bags)
- Sand: 0.104x m³
- Stone: 0.205x m³