Question

To raise the height of a low land. 48m long and
31.5m broad, to 6.5dm; a ditch, 27 m long and 18.2m broad was dug in a side plot. The depth of the
ditch will be:
​

Answer 1

Given:

To raise the height of low land. 48m long and  31.5 m broad, to 6.5 dm

A ditch, 27 m long and 18.2 m broad was dug in a side plot

To find:

The depth of the  ditch

Solution:

The dimensions of the low land:

Length = 48 m

Breadth = 31.5 m

Height = 6.5 dm = $\frac{6.5}{10}$ = 0.65 m

∴ The volume of the low land = l × b × h = 48 × 31.5 × 0.65 = 982.8 m³ ..... (i)

The dimensions of the ditch:

Length = 27 m

Breadth = 18.2 m

Let "d" be the depth of the ditch.

∴ The volume of the ditch = l × b × d = 27 × 18.2 × d = (491.4 × d) m³ ..... (ii)

Since the earth dug from the ditch is used to raise the low land to a height of 0.65 m, therefore, we get

[Volume of the low land] = [Volume of the ditch]

by substituting from (i) & (ii), we get

⇒ 982.8 m³ = (491.4 × d) m³

⇒ $d = \frac{982.8}{491.4}$

⇒ $\bold{d = 2 \:m}$

Thus, the depth of the ditch will be 2 m.

---------------------------------------------------------------------------------------------

Also View:

A low land of length 40m and breadth 30m is to make 2.5dm high by soil. For this the amount of soil required is obtained from a trench round the land of 2.5m broad. Find the depth of the trench.

https://brainly.in/question/7555252

A well dug 20 m deep and it has a diameter 7 m. The earth which is so dug out is spread evenly on a rectangular plot 22 m long and 14 m broad. What is the height of platform formed?

https://brainly.in/question/704988

A pit is dug in the shape of a cuboid with dimensions 10m x 8m x 3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m x 30m. What is the increase in the level of the plot?

https://brainly.in/question/3420174

Answer 2

Answer:

hello plz follow me plz mark as brainlist

Step-by-step explanation:

2m