Typical sugar cube

Classical Mechanics Level 1

A typical sugar cube has an edge length of $1$ cm. If you have a cubical box containing a mole of sugar cubes, what is its approximate edge length?

One mole $\approx 6.02 \times 10^{23}$ units.

4.24 \times 10^{2} \text{ km}

8.44 \times 10^{2} \text{ m}

4.24 \times 10^{2} \text{ m}

8.44 \times 10^{2} \text{ km}

1 solution

Tanmay Sule
Jun 13, 2014

Let the edge length be x The area of cubical box is equal to area of all the cubes of sugar Therefore x^3=6.02×10^23

Tanmay sule : if we do the cube root of 6.02, it comes out to be 1.8

Raghav Mehta - 6 years, 11 months ago

right, then do the cube root of 10^23

Nibir Das - 6 years, 11 months ago

Break 10^23. You get 10^21 x 10^2 (law of exponents) the cube root of 10^21 is 10^7 and the cube root of 10^2 is 4.6 approximately. There you go now, the cube root of 10^23 = 4.6 x 10^7 ...............................and 1.8 x 4.6 x 10^7 = 8.28 x 10^7 cm which when converted to Kms gives the correct answer

Deeksha Das - 6 years, 11 months ago

taking the cube root of 6.02×10^23 = $\sqrt[3]{6.02×10^{23}}$

N Solomon - 6 years, 11 months ago

it should be volume

Ishan Das - 6 years, 10 months ago

i have one problem of mechanics but i don't know the answer can you help me now ?

1) a ball is thrown vertically upwards at 30 m/s from top of tower 100 m high five second later another ball is thrown upwards from the base of the tower along the same vertical line at 50 m/s find when and where they will meet and their instantaneous velocity then

above is problem can you give me solution of this question now plz plz..... its a request to you

now..

Tanvi Hirave - 6 years, 8 months ago

use x and 100-x in s=ut+1/2at^2,u will be 30,50 in two separate equation

charan eswar - 6 years, 8 months ago

Typical sugar cube

1 solution

0 pending reports