1 cubic metre of concrete has a weight of 2400 kg 15 of the concrete is water the rest of the concrete are cement, sandand stone The weight of these ingredients are in the ratio 1:2:5 work ouyt the weight - QAmmunity.org

1 cubic metre of concrete has a weight of 2400 kg 15 of the concrete is water the rest of the concrete are cement, sandand stone The weight of these ingredients are in the ratio 1:2:5 work ouyt the weight

asked Aug 7, 2020 108k views

2 Answers

Answer:

Cement = 255 kg,

Sand = 510 kg,

Stone = 1275 kg.

Explanation:

We have been given that 1 cubic meter of concrete has a weight of 2400 kg and 15% of the concrete is water. The rest of are cement, sand and stone.

Let us find 15% of 2400.

$\text{Amount of water in concrete}=(15)/(100)* 2400$

$\text{Amount of water in concrete}=15* 24$

$\text{Amount of water in concrete}=360$

The amount of cement, sand and stone will be:
2400-360=2040 .

We are also told that the weight of cement, sand and stone are in the ratio 1:2:5.

We can represent this information in an equation as:

1x+2x+5x=2040

8x=2040

(8x)/(8)=(2040)/(8)

x=255

Therefore, the weight of cement in 1 cubic meter of concrete is 255 kg.

$\text{Weight of sand}=2x$

$\text{Weight of sand}=2*255$

$\text{Weight of sand}=510$

Therefore, the weight of sand in 1 cubic meter of concrete is 510 kg.

$\text{Weight of stone}=5x$

$\text{Weight of stone}=5*255$

$\text{Weight of stone}=1275$

Therefore, the weight of stone in 1 cubic meter of concrete is 1275 kg.

Darshanie answered Aug 11, 2020

7.2k points

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