the weight of a metal block of size 12 cm by 10 cm by 6 cm is 7.2 kg . Find the weight of a block of the same metal of size 5 cm by 4 cm by 2.5 cm.
Answers
Given :-
◉ Dimensions of a metal block A:
- Length, L = 12 cm
- Breadth, B = 10 cm
- Height, H = 6 cm
◉ Weight of metal block A = 7.2 kg
◉ Dimensions of same type of metal block B:
- Length, l = 5 cm
- Breadth, b = 4 cm
- Height, h = 2.5 cm
To Find :-
◉ Weight of metal block B
Solution :-
We know,
⇒ Volume of metal block A = L × B × H [∵ It is in the shape of a cuboid ]
⇒ Volume = 12 × 10 × 6
⇒ Volume = 720 cm³
Now,
Weight of metal block A = 7.2 kg
⇒ Weight = Density × Volume [ We can take, mass = weight, here ]
⇒ 7.2 = Density × 720
⇒ Density = 0.01 kg/cm³ ...(1)
Similarly,
⇒ Volume of metal Block B = l × b × h
⇒ Volume = 5 × 4 × 2.5
⇒ Volume = 50 cm³
Since, The both metal blacks are of same type ( material ) as given in the question, Hence the density of both the metal blocks will be same.
⇒ Density = Weight(Mass) / Volume
⇒ Weight = 0.01 × 50 [ from (1) ]
⇒ Weight = 0.5 kg
Hence, The other metal block ( B) would weigh 0.5 Kg
Some Information :-
◉ Density = Mass / Volume
◉ Volume of Cuboid = L × B × H
where,
- L = Length
- B = Breadth
- H = Height
◉ Volume of Cube = (side)³