First we neeed to find the volume of the rectangular prism
Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216
The number of cubes needed to fill the prism without gaps or overlaps =
KE=1/2mv^2
50000=(0.5)(1000)v^2
v^2=50000/500
v^2=100
v=10 ms^-1
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Seven pizzas: 7 pizzas
Shared between 3 friends: 7 pizzas / 3 friends
Simplify the fraction:
7 / 3
(3 goes into 7 twice, 7 - 6 = 1)
2 1/3
The fraction of pizza that each friend gets is 2 1/3.
Hope this helps!! :)
