Question

27. A boat having a length of 3 metre and breadth 2 metre
is floating on a lake. The boat sinks by 1 cm when
a man gets on it. The mass of the man is​

Answer 1

Given :

A boat having a length of 3 metre and breadth 2 metre is floating on a lake. The boat sinks by 1 cm when a man gets on it.

To find :

The mass of the man is

Solution :

Volume of water displaced

➵ v = 3m x 2m x (1/100)m

➵ v = (6/100) m³

mass of man = mass of water displaced

➵ m = vp

➵ (6/100m³) (1000kg/m³)

➵ 60 kg

∴ The mass of the man is 60 kg

Extra information :

Cube

• V = s³

Right Rectangular Prism

• V = LWH

Prism or Cylinder

• V = Ah

Pyramid or Cone

• V = ⅓Ah

Sphere

• V= 4/3πr³

Answer 2

Answer:

✡ Given ✡

$\leadsto$ A boat having a length of 3m and breadth of 2m is floating on a lake.

$\leadsto$ The boat sinks by 1cm when a man gets on it.

✡ To Find ✡

$\leadsto$ What is the mass of the man.

✡ Solution ✡

✏ Length of a boat is 3m.

✏ Breadth of a boat is 2m.

✏ The boat sinks depth by 1cm or 1-² cm

$\bold{\large{\fbox{\color{blue} {Mass of man = Volume of water display × density of water}}}}$

$\implies$ (3×2×10-²)m³ × (10³) kg/m³

$\implies$ 3 × 2 × 10 kg

$\implies$ 60 kg

✴ The mass of man is 60 kg.

Step-by-step explanation:

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