Question

17 x 8 m rectangular ground is surrounded by a 1.5 m width path. Depth of the path is 12 cm. Gravel is filled and find the quantity of gravel required. *

Answer 1

Answer:

100'800sq. meters to fill the path around the rectangular ground.

Step-by-step explanation:

First you have to take into account the extra,1.5 m, surrounding the, 17 x 8 m, rectangular ground and 3 m to the to the length and width of the rectangular ground.

17 + 3 = 20

8 + 3 = 11

20 x 11 m, is are your dimensions for the rectangle with the path surrounding it.

Second you want to convert the measurements from Meters to Centimeters.

1 cm is, .12 m, of a meter and there are 100 centimeters in a meter.

So to convert them we use this formula, Centimeters = Meters x 100.

20m x 100 = 2000cm

11m x 100 = 1100cm

Now after converting we have: 2000cm x 1100cm.

We converted these unit because we are finding the volume of the path way, so we're using the equation, length x width x height. And the height in this problem is 12cm.

So all together the equation is:

2000cm x 1100cm x 12cm = 26'400'000 sq. cm.

Now this is the volume of the pathway with the rectangular ground.

So to get just the volume of the pathway we have to subtract the volume of just the rectangular ground from the volume of the pathway with the rectangular ground.

We will convert the original measurements of the rectangular ground into centimeters.

17m x 100 = 1700cm

8m x 100 = 800cm

We then plug these into the volume equation.

1700cm x 800cm x 12cm = 16'320'000sq.cm.

Now that we have the volume of just the rectangular ground we are going to subtract it from the the volume of the pat and rectangle.

26'400'000sq.cm. - 16'320'000sq.cm. = 10'080'000sq.cm.

Since we have the actual volume of the path now in centimeters, we can convert back to meters by using, Meters = Centimeters/100.

10'080'000sq.cm./100 = 100'800sq.m.

100'800sq.cm. will be your answer.