Respuesta :

Answer:

Length of diagonal line from 1 to 2 =17.3 cm

Mass= 124.57 grams =0.12457 kg

Weight=1.22 Newton

Step-by-step explanation:

Sides of cube = s=10cm

First take the bottom of cube we can get right angle triangle

And using Pythagoras theorem

[tex]10^{2} +10^{2} =x^{2}[/tex]

By solving[tex]X=10.\sqrt{2}[/tex]

Now taking the triangle formed between point 1 and 2 we get

[tex]10^{2} +(10.\sqrt{2} )^{2} =y^{2}[/tex]

[tex]Y=10.\sqrt3}[/tex]=17.3

Density=2.1 gram per cubic inch

Density = mass/volume

As sides=10 cm=3.9 inch

Volume of cube =[tex]3.9^{3}[/tex]=59.3 cubic inch

Mass=Density X Volume

Mass= 2.1 X 59.3=124.57 grams =0.12457 kg

Weight = mass X g

As [tex]g=9.8 m/s^{2}[/tex]

Weight = 0.12457 X 9.8 =1.22 Newton