171k views
5 votes
A rectangular metal is 25 dm long, 525 mm wide, and 1.5 m high. This metal weighs 250 lb. Calculate its density in g /mL

User Bigjim
by
4.0k points

1 Answer

7 votes

Answer:

d = 0.057 g/mL

Step-by-step explanation:

Given that,

The dimensions of a rectangular metal is 25 dm long, 525 mm wide, and 1.5 m high.

The weight of the metal is 250 lb

We need to find the density of the metal in g/mL.

1 lb = 453.592 g

250 lb = 113398 g

Volume of the block,

V = 25 dm× 525 mm×1.5 m

Since, 1 dm = 0.1 m, 1mm = 0.001 m

V = 2.5 m× 0.525 m× 1.5 m

V = 1.9668 m³

Also, 1 m³ = 1968000 mL

So,

density = mass/volume

density = 113398 g/1968000 mL

= 0.057 g/mL

So, the density of a rectangular metal is 0.057 g/mL.

User Sai Pavan Kumar
by
3.7k points