Question

Heya User,

Answer the Question :-

The earth taken out while digging a pit, is evenly sprea over a rectangular field of length 90 m, width 60 m. If the volume of the earth dug is 3078 m3, find the height of the field raised.

Answer 1

Answer:

$\huge\boxed{\boxed{\red{57\:cm}}}$

Step-by-step explanation:

The Earth is taken out while digging a pit .

The volume of the pit is given as 3078 m³ .

Volume of the pit dug will be equal to the volume of the field .

Rectangular field can be compared to a cuboid with length given : 90 m and the breadth is given to be 60 m .

Let the height of the cuboid be h .

Volume = l × b × h

⇒ 90 m × 60 m × h

⇒ 5400 m² × h

Now we can equate the volume with the amount of pit to get the height .

5400 m² × h = 3078 m³

⇒ h = 3078/5400 m²

⇒ h = 57/100 m

⇒ h = 0.57 m

We already know that 1 m = 100 cm .

Hence 0.57 m = 57 cm .

The height of the field is 57 cm .

Answer 2

hiii mate!!

here is your answer;)

volume of earth taken out= volume of rectangular field

pi*r^2*h = l*b*h

3078. =. 90*60*h

3078/ 90*60 = h

0.57m = h

or 57 cm = h

hope it helps!!