Question

15. A pit 5 m long and 3.5 m wide is dug to a certain depth. If the volume of earth taken out of it
is 14 m, what is the depth of the pit?​

Answer 1

Step-by-step explanation:

Length = 5m

Width = 3.5m

Volume = 14m^3

Height (depth) = ?

Volume of cuboidal pit = l × b × h

14 = 5 × 3.5 × h

h = 14 / 5 × 3.5

h = 0.8 m

Required height is, h = 0.8 m

Answer 2

Given :-

• Length of pit (l) = 5 m

• Breadth of pit (b) = 3.5 m

• Volume of earth = 14 m³

To find :-

• Depth of the pit = ?

Solution :-

Let the depth of pit be h m

volume of earth when it is dug out = l × b × h

volume of earth when it is dug out = 5 × 3.5 × h

volume of earth when it is dug out = 17.5 h m³

Now,

Volume of earth = 14 m³ ( given)

According to the question,

⤇ 17.5 h = 14

⤇ h = $\rm\dfrac{14}{17.5}$

⤇ h = $\rm\dfrac{14\times{10}}{175}$

⤇ h = $\rm\cancel\dfrac{140}{175}$

⤇ h = $\rm\dfrac{4}{5}$

⤇ h = 0.8 m

Hence,the depth of the pit will be 0.8 m.

More Information :-

• Volume of cuboid = l × b × h

• length of cuboid = volume/breadth × height

• Breadth of cuboid = volume/length × height

• Height of cuboid = volume/length × breadth

• Surface area of cuboid = 2(lb + bh + lh)