Question

Can someone please help me answer this problem?

Answer 1

Length of diagonal line from 1 to 2 =17.3 cm

Mass= 124.57 grams =0.12457 kg

Weight=1.22 Newton

Explanation:

Sides of cube = s=10cm

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

And using Pythagoras theorem

`10^(2) +10^(2) =x^(2)`

By solving
`X=10.√(2)`

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

`10^(2) +(10.√(2) )^(2) =y^(2)`

`Y=10.\sqrt3}`=17.3

Density=2.1 gram per cubic inch

Density = mass/volume

As sides=10 cm=3.9 inch

Volume of cube =
`3.9^(3)`=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
`g=9.8 m/s^(2)`

Weight = 0.12457 X 9.8 =1.22 Newton