Question

A pit 7m long and 2.5m wide is dug to a certain depth if the volume of the earth taken out of it is 28m what is the depth of the pit

Answer 1

Answer:

given ,

length of pit=7m

wide=2.5m

depth =?

volume of pit =28m^3

now

vol.of cuboid =length ×bredth×depth

28m^3= 7×2.5×depth

28m^3/7×2.5=depth

1.6=depth

Hence depth =1.6m

Answer 2

A pit 7 m long and 2.5 m wide.

Here..

• Length of pit = 7 m
• Breadth (width) of pit = 2.5 m

A pit which is 7 m in length and 2.5 m in breadth is dugged to a certain depth.

Let the -

• Depth (height) of the pit be "h" m.

Also, given that Volume of pit is 28 m³.

Now,

Volume of pit = Volume of earth taken out

⇒ length × breadth × height = Volume of earth taken out

Substitute the known values in above formula

⇒ 7 × 2.5 × h = 28 ___ (eq 1)

⇒ 17.5 × h = 28

⇒ h = 1.6

∴ Depth of the pit is 1.6 m.

Verification

From above calculations we have h = 1.6

Substitute value of h in (eq 1)

→ 7 × 2.5 × 1.6 = 28

→ 28 = 28