Question

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 of cement, sand and stone in 1 cubic metre of cement

Answer 1

Answer:

Cement = 255 kg,

Sand = 510 kg,

Stone = 1275 kg.

Step-by-step 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.

$\text{Amount of water in concrete}=\frac{15}{100}\times 2400$

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

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

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:

$1x+2x+5x=2040$

$8x=2040$

$\frac{8x}{8}=\frac{2040}{8}$

$x=255$

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.

Answer 2

Answer:

Weight of cement $= 298.125$ Kg

Weight of sand $= 2 * 298.125 = 596.25$ Kg

Weight of Stone $= 5 * 298.125 = 1490.625$ Kg

Step-by-step explanation:

Given -

The total weight of concrete $= 2400$ Kg

Weight of concrete $= 15$ Kg

The weight of cement, sand and stone is equal to

$2400 - 15 = 2385$ Kg

Let $X$ be the weight of cement,

Then weight of sand is $2X$

Weight of stone is $5X$

$X + 2X + 5X = 2385$

On solving the above equation, we get -

$8 X = 2385 \\X = 298.125$

Thus,

Weight of cement $= 298.125$ Kg

Weight of sand $= 2 * 298.125 = 596.25$ Kg

Weight of Stone $= 5 * 298.125 = 1490.625$ Kg