Question

find the volume of the earth dug out from a pit 6.5 m long, 2.4 m wide and 1.5 m deep.​

Answer 1

★ Given:

Length of the pit = 6.5 m

Breadth of the pit = 2.4 m

Depth of the pit = 1.5 m

★ To Find:

The volume of the earth dug out from the pit.

★ Analysis

The volume of the earth dug out from the pit will be the volume of the pit of the given dimensions.

★ Solution:

Volume of a cuboid = lbh

Dimensions given:

Length = 6.5 m

Breadth = 2.4 m

Depth = 1.5 m

Substituting the values in the equation:

6.5 x 2.4 x 1.5 = Volume of the pit

= 23.4 m³

Hence the volume of earth dug out from the pit is 23.4 m³.

Knowledge Bytes:

→ Important Volume Formulae:

✳ Volume of cuboid = lbh

✳ Volume of cube = a³

✳ Volume of cylinder = πr²h

✳ Volume of cone = 1/3πr²h

✳ Volume of sphere = 4 /3πr³

Answer 2

Given :-

• Length of the pit = 6.5m
• Breadth of the pit = 2.4m
• Height of the pit = 1.5m

To Find :-

• Volume of earth Dug from a pit.

Solution :-

⇒ Volume = Length × Breadth × Height

⇒ Volume = 6.5 × 2.4 × 1.5

⇒ Volume = 15.6 × 1.5

⇒ Volume = 23.4m³

________________

So, Volume of Earth Dug from a pit is 23.4m³

________________

★ Additional Info :

• Volume of cylinder = πr²h
• Volume of cone = ⅓ πr²h
• Volume of cuboid = l × b × h
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Volume of hemisphere = ⅔ πr³

________________