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